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Finding the Fourth Proportional to 374.72, 560.88 and 229.76

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Solution

The fourth proportional to 374.72, 560.88 and 229.76 is: 343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.72 : 560.88 = 229.76 : x
  2. Step 2: Convert to fraction form
    374.72/560.88 = 229.76/x
  3. Step 3: Cross multiply
    374.72x = 560.88 × 229.76
  4. Step 4: Simplify right side
    374.72x = 128,867.79
  5. Step 5: Solve for x
    x = 128,867.79/374.72
  6. Step 6: Final answer
    x = 343.90

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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.