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Finding the Fourth Proportional to 559.46, 772.44 and 428.24

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Solution

The fourth proportional to 559.46, 772.44 and 428.24 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.46 : 772.44 = 428.24 : x
  2. Step 2: Convert to fraction form
    559.46/772.44 = 428.24/x
  3. Step 3: Cross multiply
    559.46x = 772.44 × 428.24
  4. Step 4: Simplify right side
    559.46x = 330,789.71
  5. Step 5: Solve for x
    x = 330,789.71/559.46
  6. Step 6: Final answer
    x = 591.27

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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.