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Finding the Fourth Proportional to 549.18, 822.49 and 466.70

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Solution

The fourth proportional to 549.18, 822.49 and 466.70 is: 698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 822.49 = 466.70 : x
  2. Step 2: Convert to fraction form
    549.18/822.49 = 466.70/x
  3. Step 3: Cross multiply
    549.18x = 822.49 × 466.70
  4. Step 4: Simplify right side
    549.18x = 383,850.80
  5. Step 5: Solve for x
    x = 383,850.80/549.18
  6. Step 6: Final answer
    x = 698.95

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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.