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Finding the Fourth Proportional to 354.78, 489.85 and 281.27

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Solution

The fourth proportional to 354.78, 489.85 and 281.27 is: 388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 489.85 = 281.27 : x
  2. Step 2: Convert to fraction form
    354.78/489.85 = 281.27/x
  3. Step 3: Cross multiply
    354.78x = 489.85 × 281.27
  4. Step 4: Simplify right side
    354.78x = 137,780.63
  5. Step 5: Solve for x
    x = 137,780.63/354.78
  6. Step 6: Final answer
    x = 388.36

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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.