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Finding the Fourth Proportional to 454.57, 627.29 and 417.38

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Solution

The fourth proportional to 454.57, 627.29 and 417.38 is: 575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.57 : 627.29 = 417.38 : x
  2. Step 2: Convert to fraction form
    454.57/627.29 = 417.38/x
  3. Step 3: Cross multiply
    454.57x = 627.29 × 417.38
  4. Step 4: Simplify right side
    454.57x = 261,816.21
  5. Step 5: Solve for x
    x = 261,816.21/454.57
  6. Step 6: Final answer
    x = 575.97

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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.