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Finding the Fourth Proportional to 559.97, 772.72 and 311.28

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Solution

The fourth proportional to 559.97, 772.72 and 311.28 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.97 : 772.72 = 311.28 : x
  2. Step 2: Convert to fraction form
    559.97/772.72 = 311.28/x
  3. Step 3: Cross multiply
    559.97x = 772.72 × 311.28
  4. Step 4: Simplify right side
    559.97x = 240,531.50
  5. Step 5: Solve for x
    x = 240,531.50/559.97
  6. Step 6: Final answer
    x = 429.55

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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.