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Finding the Fourth Proportional to 563.68, 845.68 and 238.88

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Solution

The fourth proportional to 563.68, 845.68 and 238.88 is: 358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 845.68 = 238.88 : x
  2. Step 2: Convert to fraction form
    563.68/845.68 = 238.88/x
  3. Step 3: Cross multiply
    563.68x = 845.68 × 238.88
  4. Step 4: Simplify right side
    563.68x = 202,016.04
  5. Step 5: Solve for x
    x = 202,016.04/563.68
  6. Step 6: Final answer
    x = 358.39

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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.