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Finding the Fourth Proportional to 375.42, 562.85 and 229.22

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Solution

The fourth proportional to 375.42, 562.85 and 229.22 is: 343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.42 : 562.85 = 229.22 : x
  2. Step 2: Convert to fraction form
    375.42/562.85 = 229.22/x
  3. Step 3: Cross multiply
    375.42x = 562.85 × 229.22
  4. Step 4: Simplify right side
    375.42x = 129,012.52
  5. Step 5: Solve for x
    x = 129,012.52/375.42
  6. Step 6: Final answer
    x = 343.65

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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.