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Finding the Fourth Proportional to 627.92, 865.52 and 496.68

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Solution

The fourth proportional to 627.92, 865.52 and 496.68 is: 684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.92 : 865.52 = 496.68 : x
  2. Step 2: Convert to fraction form
    627.92/865.52 = 496.68/x
  3. Step 3: Cross multiply
    627.92x = 865.52 × 496.68
  4. Step 4: Simplify right side
    627.92x = 429,886.47
  5. Step 5: Solve for x
    x = 429,886.47/627.92
  6. Step 6: Final answer
    x = 684.62

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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.