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Finding the Fourth Proportional to 410.93, 567.11 and 271.13

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Solution

The fourth proportional to 410.93, 567.11 and 271.13 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.93 : 567.11 = 271.13 : x
  2. Step 2: Convert to fraction form
    410.93/567.11 = 271.13/x
  3. Step 3: Cross multiply
    410.93x = 567.11 × 271.13
  4. Step 4: Simplify right side
    410.93x = 153,760.53
  5. Step 5: Solve for x
    x = 153,760.53/410.93
  6. Step 6: Final answer
    x = 374.18

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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.