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Finding the Fourth Proportional to 564.46, 847.08 and 239.92

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Solution

The fourth proportional to 564.46, 847.08 and 239.92 is: 360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.46 : 847.08 = 239.92 : x
  2. Step 2: Convert to fraction form
    564.46/847.08 = 239.92/x
  3. Step 3: Cross multiply
    564.46x = 847.08 × 239.92
  4. Step 4: Simplify right side
    564.46x = 203,231.43
  5. Step 5: Solve for x
    x = 203,231.43/564.46
  6. Step 6: Final answer
    x = 360.05

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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.