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Finding the Fourth Proportional to 571.71, 858.17 and 456.87

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Solution

The fourth proportional to 571.71, 858.17 and 456.87 is: 685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.71 : 858.17 = 456.87 : x
  2. Step 2: Convert to fraction form
    571.71/858.17 = 456.87/x
  3. Step 3: Cross multiply
    571.71x = 858.17 × 456.87
  4. Step 4: Simplify right side
    571.71x = 392,072.13
  5. Step 5: Solve for x
    x = 392,072.13/571.71
  6. Step 6: Final answer
    x = 685.79

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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.