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Finding the Fourth Proportional to 374.28, 560.28 and 229.56

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Solution

The fourth proportional to 374.28, 560.28 and 229.56 is: 343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.28 : 560.28 = 229.56 : x
  2. Step 2: Convert to fraction form
    374.28/560.28 = 229.56/x
  3. Step 3: Cross multiply
    374.28x = 560.28 × 229.56
  4. Step 4: Simplify right side
    374.28x = 128,617.88
  5. Step 5: Solve for x
    x = 128,617.88/374.28
  6. Step 6: Final answer
    x = 343.64

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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.