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Finding the Fourth Proportional to 489.80, 735.08 and 284.49

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Solution

The fourth proportional to 489.80, 735.08 and 284.49 is: 426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.80 : 735.08 = 284.49 : x
  2. Step 2: Convert to fraction form
    489.80/735.08 = 284.49/x
  3. Step 3: Cross multiply
    489.80x = 735.08 × 284.49
  4. Step 4: Simplify right side
    489.80x = 209,121.49
  5. Step 5: Solve for x
    x = 209,121.49/489.80
  6. Step 6: Final answer
    x = 426.95

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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.