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Finding the Fourth Proportional to 514.92, 710.49 and 293.85

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Solution

The fourth proportional to 514.92, 710.49 and 293.85 is: 405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 710.49 = 293.85 : x
  2. Step 2: Convert to fraction form
    514.92/710.49 = 293.85/x
  3. Step 3: Cross multiply
    514.92x = 710.49 × 293.85
  4. Step 4: Simplify right side
    514.92x = 208,777.49
  5. Step 5: Solve for x
    x = 208,777.49/514.92
  6. Step 6: Final answer
    x = 405.46

Related Problems

Find fourth proportional to 257.46, 355.25 and 146.93
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Double scale
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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.