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Finding the Fourth Proportional to 281.48, 424.78 and 272.43

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Solution

The fourth proportional to 281.48, 424.78 and 272.43 is: 411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 424.78 = 272.43 : x
  2. Step 2: Convert to fraction form
    281.48/424.78 = 272.43/x
  3. Step 3: Cross multiply
    281.48x = 424.78 × 272.43
  4. Step 4: Simplify right side
    281.48x = 115,722.13
  5. Step 5: Solve for x
    x = 115,722.13/281.48
  6. Step 6: Final answer
    x = 411.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.