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Finding the Fourth Proportional to 559.53, 772.14 and 310.84

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Solution

The fourth proportional to 559.53, 772.14 and 310.84 is: 428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.53 : 772.14 = 310.84 : x
  2. Step 2: Convert to fraction form
    559.53/772.14 = 310.84/x
  3. Step 3: Cross multiply
    559.53x = 772.14 × 310.84
  4. Step 4: Simplify right side
    559.53x = 240,010.44
  5. Step 5: Solve for x
    x = 240,010.44/559.53
  6. Step 6: Final answer
    x = 428.95

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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.