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Finding the Fourth Proportional to 553.50, 829.13 and 461.90

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Solution

The fourth proportional to 553.50, 829.13 and 461.90 is: 691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 829.13 = 461.90 : x
  2. Step 2: Convert to fraction form
    553.50/829.13 = 461.90/x
  3. Step 3: Cross multiply
    553.50x = 829.13 × 461.90
  4. Step 4: Simplify right side
    553.50x = 382,974.91
  5. Step 5: Solve for x
    x = 382,974.91/553.50
  6. Step 6: Final answer
    x = 691.91

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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.