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Finding the Fourth Proportional to 564.75, 847.31 and 240.17

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Solution

The fourth proportional to 564.75, 847.31 and 240.17 is: 360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 847.31 = 240.17 : x
  2. Step 2: Convert to fraction form
    564.75/847.31 = 240.17/x
  3. Step 3: Cross multiply
    564.75x = 847.31 × 240.17
  4. Step 4: Simplify right side
    564.75x = 203,493.01
  5. Step 5: Solve for x
    x = 203,493.01/564.75
  6. Step 6: Final answer
    x = 360.32

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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.