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Finding the Fourth Proportional to 521.91, 776.72 and 502.47

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Solution

The fourth proportional to 521.91, 776.72 and 502.47 is: 747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 776.72 = 502.47 : x
  2. Step 2: Convert to fraction form
    521.91/776.72 = 502.47/x
  3. Step 3: Cross multiply
    521.91x = 776.72 × 502.47
  4. Step 4: Simplify right side
    521.91x = 390,279.75
  5. Step 5: Solve for x
    x = 390,279.75/521.91
  6. Step 6: Final answer
    x = 747.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.