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Finding the Fourth Proportional to 375.71, 562.45 and 229.02

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Solution

The fourth proportional to 375.71, 562.45 and 229.02 is: 342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.71 : 562.45 = 229.02 : x
  2. Step 2: Convert to fraction form
    375.71/562.45 = 229.02/x
  3. Step 3: Cross multiply
    375.71x = 562.45 × 229.02
  4. Step 4: Simplify right side
    375.71x = 128,812.30
  5. Step 5: Solve for x
    x = 128,812.30/375.71
  6. Step 6: Final answer
    x = 342.85

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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.