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Finding the Fourth Proportional to 563.72, 845.64 and 239.12

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Solution

The fourth proportional to 563.72, 845.64 and 239.12 is: 358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 845.64 = 239.12 : x
  2. Step 2: Convert to fraction form
    563.72/845.64 = 239.12/x
  3. Step 3: Cross multiply
    563.72x = 845.64 × 239.12
  4. Step 4: Simplify right side
    563.72x = 202,209.44
  5. Step 5: Solve for x
    x = 202,209.44/563.72
  6. Step 6: Final answer
    x = 358.71

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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.