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Finding the Fourth Proportional to 578.97, 861.55 and 559.13

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Solution

The fourth proportional to 578.97, 861.55 and 559.13 is: 832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.97 : 861.55 = 559.13 : x
  2. Step 2: Convert to fraction form
    578.97/861.55 = 559.13/x
  3. Step 3: Cross multiply
    578.97x = 861.55 × 559.13
  4. Step 4: Simplify right side
    578.97x = 481,712.75
  5. Step 5: Solve for x
    x = 481,712.75/578.97
  6. Step 6: Final answer
    x = 832.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.