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Finding the Fourth Proportional to 519.48, 715.02 and 500.88

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Solution

The fourth proportional to 519.48, 715.02 and 500.88 is: 689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.48 : 715.02 = 500.88 : x
  2. Step 2: Convert to fraction form
    519.48/715.02 = 500.88/x
  3. Step 3: Cross multiply
    519.48x = 715.02 × 500.88
  4. Step 4: Simplify right side
    519.48x = 358,139.22
  5. Step 5: Solve for x
    x = 358,139.22/519.48
  6. Step 6: Final answer
    x = 689.42

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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.