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Finding the Fourth Proportional to 547.26, 820.99 and 461.40

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Solution

The fourth proportional to 547.26, 820.99 and 461.40 is: 692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.26 : 820.99 = 461.40 : x
  2. Step 2: Convert to fraction form
    547.26/820.99 = 461.40/x
  3. Step 3: Cross multiply
    547.26x = 820.99 × 461.40
  4. Step 4: Simplify right side
    547.26x = 378,799.69
  5. Step 5: Solve for x
    x = 378,799.69/547.26
  6. Step 6: Final answer
    x = 692.18

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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.