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Finding the Fourth Proportional to 517.92, 714.24 and 362.40

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Solution

The fourth proportional to 517.92, 714.24 and 362.40 is: 499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 714.24 = 362.40 : x
  2. Step 2: Convert to fraction form
    517.92/714.24 = 362.40/x
  3. Step 3: Cross multiply
    517.92x = 714.24 × 362.40
  4. Step 4: Simplify right side
    517.92x = 258,840.58
  5. Step 5: Solve for x
    x = 258,840.58/517.92
  6. Step 6: Final answer
    x = 499.77

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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.