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Finding the Fourth Proportional to 563.28, 844.84 and 238.64

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Solution

The fourth proportional to 563.28, 844.84 and 238.64 is: 357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.28 : 844.84 = 238.64 : x
  2. Step 2: Convert to fraction form
    563.28/844.84 = 238.64/x
  3. Step 3: Cross multiply
    563.28x = 844.84 × 238.64
  4. Step 4: Simplify right side
    563.28x = 201,612.62
  5. Step 5: Solve for x
    x = 201,612.62/563.28
  6. Step 6: Final answer
    x = 357.93

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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.