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Finding the Fourth Proportional to 627.17, 864.54 and 416.97

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Solution

The fourth proportional to 627.17, 864.54 and 416.97 is: 574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.17 : 864.54 = 416.97 : x
  2. Step 2: Convert to fraction form
    627.17/864.54 = 416.97/x
  3. Step 3: Cross multiply
    627.17x = 864.54 × 416.97
  4. Step 4: Simplify right side
    627.17x = 360,487.24
  5. Step 5: Solve for x
    x = 360,487.24/627.17
  6. Step 6: Final answer
    x = 574.79

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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.