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Finding the Fourth Proportional to 547.62, 822.11 and 466.98

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Solution

The fourth proportional to 547.62, 822.11 and 466.98 is: 701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.62 : 822.11 = 466.98 : x
  2. Step 2: Convert to fraction form
    547.62/822.11 = 466.98/x
  3. Step 3: Cross multiply
    547.62x = 822.11 × 466.98
  4. Step 4: Simplify right side
    547.62x = 383,906.59
  5. Step 5: Solve for x
    x = 383,906.59/547.62
  6. Step 6: Final answer
    x = 701.05

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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.