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Finding the Fourth Proportional to 571.31, 857.92 and 542.08

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Solution

The fourth proportional to 571.31, 857.92 and 542.08 is: 814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.31 : 857.92 = 542.08 : x
  2. Step 2: Convert to fraction form
    571.31/857.92 = 542.08/x
  3. Step 3: Cross multiply
    571.31x = 857.92 × 542.08
  4. Step 4: Simplify right side
    571.31x = 465,061.27
  5. Step 5: Solve for x
    x = 465,061.27/571.31
  6. Step 6: Final answer
    x = 814.03

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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.