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Finding the Fourth Proportional to 354.85, 489.68 and 205.41

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Solution

The fourth proportional to 354.85, 489.68 and 205.41 is: 283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.85 : 489.68 = 205.41 : x
  2. Step 2: Convert to fraction form
    354.85/489.68 = 205.41/x
  3. Step 3: Cross multiply
    354.85x = 489.68 × 205.41
  4. Step 4: Simplify right side
    354.85x = 100,587.90
  5. Step 5: Solve for x
    x = 100,587.90/354.85
  6. Step 6: Final answer
    x = 283.47

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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.