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Finding the Fourth Proportional to 542.97, 749.29 and 294.29

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Solution

The fourth proportional to 542.97, 749.29 and 294.29 is: 406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.97 : 749.29 = 294.29 : x
  2. Step 2: Convert to fraction form
    542.97/749.29 = 294.29/x
  3. Step 3: Cross multiply
    542.97x = 749.29 × 294.29
  4. Step 4: Simplify right side
    542.97x = 220,503.34
  5. Step 5: Solve for x
    x = 220,503.34/542.97
  6. Step 6: Final answer
    x = 406.11

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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.