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Finding the Fourth Proportional to 342.32, 512.80 and 249.96

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Solution

The fourth proportional to 342.32, 512.80 and 249.96 is: 374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 512.80 = 249.96 : x
  2. Step 2: Convert to fraction form
    342.32/512.80 = 249.96/x
  3. Step 3: Cross multiply
    342.32x = 512.80 × 249.96
  4. Step 4: Simplify right side
    342.32x = 128,179.49
  5. Step 5: Solve for x
    x = 128,179.49/342.32
  6. Step 6: Final answer
    x = 374.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.