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Finding the Fourth Proportional to 549.52, 821.32 and 505.73

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Solution

The fourth proportional to 549.52, 821.32 and 505.73 is: 755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.52 : 821.32 = 505.73 : x
  2. Step 2: Convert to fraction form
    549.52/821.32 = 505.73/x
  3. Step 3: Cross multiply
    549.52x = 821.32 × 505.73
  4. Step 4: Simplify right side
    549.52x = 415,366.95
  5. Step 5: Solve for x
    x = 415,366.95/549.52
  6. Step 6: Final answer
    x = 755.88

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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.