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Finding the Fourth Proportional to 547.17, 754.97 and 311.13

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Solution

The fourth proportional to 547.17, 754.97 and 311.13 is: 429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.17 : 754.97 = 311.13 : x
  2. Step 2: Convert to fraction form
    547.17/754.97 = 311.13/x
  3. Step 3: Cross multiply
    547.17x = 754.97 × 311.13
  4. Step 4: Simplify right side
    547.17x = 234,892.26
  5. Step 5: Solve for x
    x = 234,892.26/547.17
  6. Step 6: Final answer
    x = 429.29

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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.