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Finding the Fourth Proportional to 542.56, 812.40 and 398.56

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Solution

The fourth proportional to 542.56, 812.40 and 398.56 is: 596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.56 : 812.40 = 398.56 : x
  2. Step 2: Convert to fraction form
    542.56/812.40 = 398.56/x
  3. Step 3: Cross multiply
    542.56x = 812.40 × 398.56
  4. Step 4: Simplify right side
    542.56x = 323,790.14
  5. Step 5: Solve for x
    x = 323,790.14/542.56
  6. Step 6: Final answer
    x = 596.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.