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Finding the Fourth Proportional to 559.49, 772.10 and 363.35

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Solution

The fourth proportional to 559.49, 772.10 and 363.35 is: 501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.49 : 772.10 = 363.35 : x
  2. Step 2: Convert to fraction form
    559.49/772.10 = 363.35/x
  3. Step 3: Cross multiply
    559.49x = 772.10 × 363.35
  4. Step 4: Simplify right side
    559.49x = 280,544.01
  5. Step 5: Solve for x
    x = 280,544.01/559.49
  6. Step 6: Final answer
    x = 501.43

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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.