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Finding the Fourth Proportional to 375.60, 562.02 and 229.44

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Solution

The fourth proportional to 375.60, 562.02 and 229.44 is: 343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 562.02 = 229.44 : x
  2. Step 2: Convert to fraction form
    375.60/562.02 = 229.44/x
  3. Step 3: Cross multiply
    375.60x = 562.02 × 229.44
  4. Step 4: Simplify right side
    375.60x = 128,949.87
  5. Step 5: Solve for x
    x = 128,949.87/375.60
  6. Step 6: Final answer
    x = 343.32

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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.