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Finding the Fourth Proportional to 559.29, 772.50 and 363.07

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Solution

The fourth proportional to 559.29, 772.50 and 363.07 is: 501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.29 : 772.50 = 363.07 : x
  2. Step 2: Convert to fraction form
    559.29/772.50 = 363.07/x
  3. Step 3: Cross multiply
    559.29x = 772.50 × 363.07
  4. Step 4: Simplify right side
    559.29x = 280,471.58
  5. Step 5: Solve for x
    x = 280,471.58/559.29
  6. Step 6: Final answer
    x = 501.48

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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.