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Finding the Fourth Proportional to 285.45, 426.32 and 249

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Solution

The fourth proportional to 285.45, 426.32 and 249 is: 371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.45 : 426.32 = 249 : x
  2. Step 2: Convert to fraction form
    285.45/426.32 = 249/x
  3. Step 3: Cross multiply
    285.45x = 426.32 × 249
  4. Step 4: Simplify right side
    285.45x = 106,152.44
  5. Step 5: Solve for x
    x = 106,152.44/285.45
  6. Step 6: Final answer
    x = 371.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.