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Finding the Fourth Proportional to 563.97, 845.97 and 239.28

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Solution

The fourth proportional to 563.97, 845.97 and 239.28 is: 358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.97 : 845.97 = 239.28 : x
  2. Step 2: Convert to fraction form
    563.97/845.97 = 239.28/x
  3. Step 3: Cross multiply
    563.97x = 845.97 × 239.28
  4. Step 4: Simplify right side
    563.97x = 202,423.70
  5. Step 5: Solve for x
    x = 202,423.70/563.97
  6. Step 6: Final answer
    x = 358.93

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