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Finding the Fourth Proportional to 282.74, 424.17 and 280.80

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Solution

The fourth proportional to 282.74, 424.17 and 280.80 is: 421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.74 : 424.17 = 280.80 : x
  2. Step 2: Convert to fraction form
    282.74/424.17 = 280.80/x
  3. Step 3: Cross multiply
    282.74x = 424.17 × 280.80
  4. Step 4: Simplify right side
    282.74x = 119,106.94
  5. Step 5: Solve for x
    x = 119,106.94/282.74
  6. Step 6: Final answer
    x = 421.27

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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.