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Finding the Fourth Proportional to 559.50, 772.14 and 310.85

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Solution

The fourth proportional to 559.50, 772.14 and 310.85 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.50 : 772.14 = 310.85 : x
  2. Step 2: Convert to fraction form
    559.50/772.14 = 310.85/x
  3. Step 3: Cross multiply
    559.50x = 772.14 × 310.85
  4. Step 4: Simplify right side
    559.50x = 240,014.69
  5. Step 5: Solve for x
    x = 240,014.69/559.50
  6. Step 6: Final answer
    x = 428.98

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Why These Related Problems?

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