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Finding the Fourth Proportional to 375.28, 563.20 and 229.18

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Solution

The fourth proportional to 375.28, 563.20 and 229.18 is: 343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.28 : 563.20 = 229.18 : x
  2. Step 2: Convert to fraction form
    375.28/563.20 = 229.18/x
  3. Step 3: Cross multiply
    375.28x = 563.20 × 229.18
  4. Step 4: Simplify right side
    375.28x = 129,074.18
  5. Step 5: Solve for x
    x = 129,074.18/375.28
  6. Step 6: Final answer
    x = 343.94

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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.