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Finding the Fourth Proportional to 542.03, 747.99 and 402.31

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Solution

The fourth proportional to 542.03, 747.99 and 402.31 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.03 : 747.99 = 402.31 : x
  2. Step 2: Convert to fraction form
    542.03/747.99 = 402.31/x
  3. Step 3: Cross multiply
    542.03x = 747.99 × 402.31
  4. Step 4: Simplify right side
    542.03x = 300,921.99
  5. Step 5: Solve for x
    x = 300,921.99/542.03
  6. Step 6: Final answer
    x = 555.17

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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.