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Finding the Fourth Proportional to 542.83, 749.10 and 294.14

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Solution

The fourth proportional to 542.83, 749.10 and 294.14 is: 405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.83 : 749.10 = 294.14 : x
  2. Step 2: Convert to fraction form
    542.83/749.10 = 294.14/x
  3. Step 3: Cross multiply
    542.83x = 749.10 × 294.14
  4. Step 4: Simplify right side
    542.83x = 220,342.65
  5. Step 5: Solve for x
    x = 220,342.65/542.83
  6. Step 6: Final answer
    x = 405.92

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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.