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Finding the Fourth Proportional to 564.12, 845.42 and 239.08

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Solution

The fourth proportional to 564.12, 845.42 and 239.08 is: 358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.12 : 845.42 = 239.08 : x
  2. Step 2: Convert to fraction form
    564.12/845.42 = 239.08/x
  3. Step 3: Cross multiply
    564.12x = 845.42 × 239.08
  4. Step 4: Simplify right side
    564.12x = 202,123.01
  5. Step 5: Solve for x
    x = 202,123.01/564.12
  6. Step 6: Final answer
    x = 358.30

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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.