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Finding the Fourth Proportional to 517.60, 714.64 and 462.16

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Solution

The fourth proportional to 517.60, 714.64 and 462.16 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.60 : 714.64 = 462.16 : x
  2. Step 2: Convert to fraction form
    517.60/714.64 = 462.16/x
  3. Step 3: Cross multiply
    517.60x = 714.64 × 462.16
  4. Step 4: Simplify right side
    517.60x = 330,278.02
  5. Step 5: Solve for x
    x = 330,278.02/517.60
  6. Step 6: Final answer
    x = 638.10

Related Problems

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Double scale
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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.