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Finding the Fourth Proportional to 564.08, 845.80 and 239.36

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Solution

The fourth proportional to 564.08, 845.80 and 239.36 is: 358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 845.80 = 239.36 : x
  2. Step 2: Convert to fraction form
    564.08/845.80 = 239.36/x
  3. Step 3: Cross multiply
    564.08x = 845.80 × 239.36
  4. Step 4: Simplify right side
    564.08x = 202,450.69
  5. Step 5: Solve for x
    x = 202,450.69/564.08
  6. Step 6: Final answer
    x = 358.90

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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.