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Finding the Fourth Proportional to 378.76, 569.21 and 224.72

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Solution

The fourth proportional to 378.76, 569.21 and 224.72 is: 337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.76 : 569.21 = 224.72 : x
  2. Step 2: Convert to fraction form
    378.76/569.21 = 224.72/x
  3. Step 3: Cross multiply
    378.76x = 569.21 × 224.72
  4. Step 4: Simplify right side
    378.76x = 127,910.03
  5. Step 5: Solve for x
    x = 127,910.03/378.76
  6. Step 6: Final answer
    x = 337.71

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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.