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Finding the Fourth Proportional to 489.49, 733.86 and 284.16

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Solution

The fourth proportional to 489.49, 733.86 and 284.16 is: 426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.49 : 733.86 = 284.16 : x
  2. Step 2: Convert to fraction form
    489.49/733.86 = 284.16/x
  3. Step 3: Cross multiply
    489.49x = 733.86 × 284.16
  4. Step 4: Simplify right side
    489.49x = 208,532.28
  5. Step 5: Solve for x
    x = 208,532.28/489.49
  6. Step 6: Final answer
    x = 426.02

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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.