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Finding the Fourth Proportional to 514.77, 710.35 and 293.69

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Solution

The fourth proportional to 514.77, 710.35 and 293.69 is: 405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.77 : 710.35 = 293.69 : x
  2. Step 2: Convert to fraction form
    514.77/710.35 = 293.69/x
  3. Step 3: Cross multiply
    514.77x = 710.35 × 293.69
  4. Step 4: Simplify right side
    514.77x = 208,623.73
  5. Step 5: Solve for x
    x = 208,623.73/514.77
  6. Step 6: Final answer
    x = 405.28

Related Problems

Find fourth proportional to 257.38, 355.17 and 146.85
Half scale
Find fourth proportional to 1,029.53, 1,420.70 and 587.39
Double scale
Find fourth proportional to 515.77, 711.73 and 294.69
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.