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Finding the Fourth Proportional to 627.30, 865.13 and 417.47

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Solution

The fourth proportional to 627.30, 865.13 and 417.47 is: 575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.30 : 865.13 = 417.47 : x
  2. Step 2: Convert to fraction form
    627.30/865.13 = 417.47/x
  3. Step 3: Cross multiply
    627.30x = 865.13 × 417.47
  4. Step 4: Simplify right side
    627.30x = 361,159.41
  5. Step 5: Solve for x
    x = 361,159.41/627.30
  6. Step 6: Final answer
    x = 575.74

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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.