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Finding the Fourth Proportional to 424.78, 586.14 and 269.50

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Solution

The fourth proportional to 424.78, 586.14 and 269.50 is: 371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.78 : 586.14 = 269.50 : x
  2. Step 2: Convert to fraction form
    424.78/586.14 = 269.50/x
  3. Step 3: Cross multiply
    424.78x = 586.14 × 269.50
  4. Step 4: Simplify right side
    424.78x = 157,964.73
  5. Step 5: Solve for x
    x = 157,964.73/424.78
  6. Step 6: Final answer
    x = 371.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.