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Finding the Fourth Proportional to 627.30, 865.74 and 477.66

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Solution

The fourth proportional to 627.30, 865.74 and 477.66 is: 659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.30 : 865.74 = 477.66 : x
  2. Step 2: Convert to fraction form
    627.30/865.74 = 477.66/x
  3. Step 3: Cross multiply
    627.30x = 865.74 × 477.66
  4. Step 4: Simplify right side
    627.30x = 413,530.40
  5. Step 5: Solve for x
    x = 413,530.40/627.30
  6. Step 6: Final answer
    x = 659.22

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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.