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Finding the Fourth Proportional to 517.11, 713.55 and 293.05

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Solution

The fourth proportional to 517.11, 713.55 and 293.05 is: 404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.11 : 713.55 = 293.05 : x
  2. Step 2: Convert to fraction form
    517.11/713.55 = 293.05/x
  3. Step 3: Cross multiply
    517.11x = 713.55 × 293.05
  4. Step 4: Simplify right side
    517.11x = 209,106.56
  5. Step 5: Solve for x
    x = 209,106.56/517.11
  6. Step 6: Final answer
    x = 404.38

Related Problems

Find fourth proportional to 258.55, 356.78 and 146.53
Half scale
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Double scale
Find fourth proportional to 518.11, 714.93 and 294.05
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.