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Finding the Fourth Proportional to 282.52, 424.14 and 269.44

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Solution

The fourth proportional to 282.52, 424.14 and 269.44 is: 404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.52 : 424.14 = 269.44 : x
  2. Step 2: Convert to fraction form
    282.52/424.14 = 269.44/x
  3. Step 3: Cross multiply
    282.52x = 424.14 × 269.44
  4. Step 4: Simplify right side
    282.52x = 114,280.28
  5. Step 5: Solve for x
    x = 114,280.28/282.52
  6. Step 6: Final answer
    x = 404.50

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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.