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Finding the Fourth Proportional to 564.38, 845.82 and 239.34

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Solution

The fourth proportional to 564.38, 845.82 and 239.34 is: 358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 845.82 = 239.34 : x
  2. Step 2: Convert to fraction form
    564.38/845.82 = 239.34/x
  3. Step 3: Cross multiply
    564.38x = 845.82 × 239.34
  4. Step 4: Simplify right side
    564.38x = 202,438.56
  5. Step 5: Solve for x
    x = 202,438.56/564.38
  6. Step 6: Final answer
    x = 358.70

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Why These Related Problems?

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