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Finding the Fourth Proportional to 537.88, 803.48 and 489.28

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Solution

The fourth proportional to 537.88, 803.48 and 489.28 is: 730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.88 : 803.48 = 489.28 : x
  2. Step 2: Convert to fraction form
    537.88/803.48 = 489.28/x
  3. Step 3: Cross multiply
    537.88x = 803.48 × 489.28
  4. Step 4: Simplify right side
    537.88x = 393,126.69
  5. Step 5: Solve for x
    x = 393,126.69/537.88
  6. Step 6: Final answer
    x = 730.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.