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Finding the Fourth Proportional to 518.38, 778.17 and 497.50

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Solution

The fourth proportional to 518.38, 778.17 and 497.50 is: 746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 778.17 = 497.50 : x
  2. Step 2: Convert to fraction form
    518.38/778.17 = 497.50/x
  3. Step 3: Cross multiply
    518.38x = 778.17 × 497.50
  4. Step 4: Simplify right side
    518.38x = 387,139.58
  5. Step 5: Solve for x
    x = 387,139.58/518.38
  6. Step 6: Final answer
    x = 746.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.