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Finding the Fourth Proportional to 559.25, 769.15 and 448.55

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Solution

The fourth proportional to 559.25, 769.15 and 448.55 is: 616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.25 : 769.15 = 448.55 : x
  2. Step 2: Convert to fraction form
    559.25/769.15 = 448.55/x
  3. Step 3: Cross multiply
    559.25x = 769.15 × 448.55
  4. Step 4: Simplify right side
    559.25x = 345,002.23
  5. Step 5: Solve for x
    x = 345,002.23/559.25
  6. Step 6: Final answer
    x = 616.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.