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Finding the Fourth Proportional to 559.80, 772.68 and 394

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Solution

The fourth proportional to 559.80, 772.68 and 394 is: 543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.80 : 772.68 = 394 : x
  2. Step 2: Convert to fraction form
    559.80/772.68 = 394/x
  3. Step 3: Cross multiply
    559.80x = 772.68 × 394
  4. Step 4: Simplify right side
    559.80x = 304,435.92
  5. Step 5: Solve for x
    x = 304,435.92/559.80
  6. Step 6: Final answer
    x = 543.83

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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.