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Finding the Fourth Proportional to 454.06, 627.24 and 404.92

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Solution

The fourth proportional to 454.06, 627.24 and 404.92 is: 559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.06 : 627.24 = 404.92 : x
  2. Step 2: Convert to fraction form
    454.06/627.24 = 404.92/x
  3. Step 3: Cross multiply
    454.06x = 627.24 × 404.92
  4. Step 4: Simplify right side
    454.06x = 253,982.02
  5. Step 5: Solve for x
    x = 253,982.02/454.06
  6. Step 6: Final answer
    x = 559.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.