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Finding the Fourth Proportional to 559.43, 772.37 and 363.50

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Solution

The fourth proportional to 559.43, 772.37 and 363.50 is: 501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.43 : 772.37 = 363.50 : x
  2. Step 2: Convert to fraction form
    559.43/772.37 = 363.50/x
  3. Step 3: Cross multiply
    559.43x = 772.37 × 363.50
  4. Step 4: Simplify right side
    559.43x = 280,756.50
  5. Step 5: Solve for x
    x = 280,756.50/559.43
  6. Step 6: Final answer
    x = 501.86

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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.