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Finding the Fourth Proportional to 866.46, 1,299.49 and 281.52

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Solution

The fourth proportional to 866.46, 1,299.49 and 281.52 is: 422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.46 : 1,299.49 = 281.52 : x
  2. Step 2: Convert to fraction form
    866.46/1,299.49 = 281.52/x
  3. Step 3: Cross multiply
    866.46x = 1,299.49 × 281.52
  4. Step 4: Simplify right side
    866.46x = 365,832.42
  5. Step 5: Solve for x
    x = 365,832.42/866.46
  6. Step 6: Final answer
    x = 422.22

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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.