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Finding the Fourth Proportional to 553.20, 829.18 and 488.26

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Solution

The fourth proportional to 553.20, 829.18 and 488.26 is: 731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.20 : 829.18 = 488.26 : x
  2. Step 2: Convert to fraction form
    553.20/829.18 = 488.26/x
  3. Step 3: Cross multiply
    553.20x = 829.18 × 488.26
  4. Step 4: Simplify right side
    553.20x = 404,855.43
  5. Step 5: Solve for x
    x = 404,855.43/553.20
  6. Step 6: Final answer
    x = 731.84

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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.