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Finding the Fourth Proportional to 547.10, 754.96 and 311.04

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Solution

The fourth proportional to 547.10, 754.96 and 311.04 is: 429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.10 : 754.96 = 311.04 : x
  2. Step 2: Convert to fraction form
    547.10/754.96 = 311.04/x
  3. Step 3: Cross multiply
    547.10x = 754.96 × 311.04
  4. Step 4: Simplify right side
    547.10x = 234,824.48
  5. Step 5: Solve for x
    x = 234,824.48/547.10
  6. Step 6: Final answer
    x = 429.22

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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.