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Finding the Fourth Proportional to 627.03, 865.49 and 417.51

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Solution

The fourth proportional to 627.03, 865.49 and 417.51 is: 576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.03 : 865.49 = 417.51 : x
  2. Step 2: Convert to fraction form
    627.03/865.49 = 417.51/x
  3. Step 3: Cross multiply
    627.03x = 865.49 × 417.51
  4. Step 4: Simplify right side
    627.03x = 361,348.64
  5. Step 5: Solve for x
    x = 361,348.64/627.03
  6. Step 6: Final answer
    x = 576.29

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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.