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Finding the Fourth Proportional to 284.45, 426.85 and 282.13

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Solution

The fourth proportional to 284.45, 426.85 and 282.13 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.45 : 426.85 = 282.13 : x
  2. Step 2: Convert to fraction form
    284.45/426.85 = 282.13/x
  3. Step 3: Cross multiply
    284.45x = 426.85 × 282.13
  4. Step 4: Simplify right side
    284.45x = 120,425.42
  5. Step 5: Solve for x
    x = 120,425.42/284.45
  6. Step 6: Final answer
    x = 423.37

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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.