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Finding the Fourth Proportional to 457.61, 631.50 and 271.19

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Solution

The fourth proportional to 457.61, 631.50 and 271.19 is: 374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 631.50 = 271.19 : x
  2. Step 2: Convert to fraction form
    457.61/631.50 = 271.19/x
  3. Step 3: Cross multiply
    457.61x = 631.50 × 271.19
  4. Step 4: Simplify right side
    457.61x = 171,253.55
  5. Step 5: Solve for x
    x = 171,253.55/457.61
  6. Step 6: Final answer
    x = 374.24

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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.