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Finding the Fourth Proportional to 542.02, 747.90 and 309.14

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Solution

The fourth proportional to 542.02, 747.90 and 309.14 is: 426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.02 : 747.90 = 309.14 : x
  2. Step 2: Convert to fraction form
    542.02/747.90 = 309.14/x
  3. Step 3: Cross multiply
    542.02x = 747.90 × 309.14
  4. Step 4: Simplify right side
    542.02x = 231,205.81
  5. Step 5: Solve for x
    x = 231,205.81/542.02
  6. Step 6: Final answer
    x = 426.56

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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.