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Finding the Fourth Proportional to 284.13, 424.29 and 282.44

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Solution

The fourth proportional to 284.13, 424.29 and 282.44 is: 421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 424.29 = 282.44 : x
  2. Step 2: Convert to fraction form
    284.13/424.29 = 282.44/x
  3. Step 3: Cross multiply
    284.13x = 424.29 × 282.44
  4. Step 4: Simplify right side
    284.13x = 119,834.35
  5. Step 5: Solve for x
    x = 119,834.35/284.13
  6. Step 6: Final answer
    x = 421.76

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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.