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Finding the Fourth Proportional to 627.09, 865.41 and 417.66

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Solution

The fourth proportional to 627.09, 865.41 and 417.66 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.09 : 865.41 = 417.66 : x
  2. Step 2: Convert to fraction form
    627.09/865.41 = 417.66/x
  3. Step 3: Cross multiply
    627.09x = 865.41 × 417.66
  4. Step 4: Simplify right side
    627.09x = 361,447.14
  5. Step 5: Solve for x
    x = 361,447.14/627.09
  6. Step 6: Final answer
    x = 576.39

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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.