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Finding the Fourth Proportional to 489.28, 733.48 and 284.02

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Solution

The fourth proportional to 489.28, 733.48 and 284.02 is: 425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.28 : 733.48 = 284.02 : x
  2. Step 2: Convert to fraction form
    489.28/733.48 = 284.02/x
  3. Step 3: Cross multiply
    489.28x = 733.48 × 284.02
  4. Step 4: Simplify right side
    489.28x = 208,322.99
  5. Step 5: Solve for x
    x = 208,322.99/489.28
  6. Step 6: Final answer
    x = 425.77

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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.