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Finding the Fourth Proportional to 559.86, 772.41 and 335.80

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Solution

The fourth proportional to 559.86, 772.41 and 335.80 is: 463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 772.41 = 335.80 : x
  2. Step 2: Convert to fraction form
    559.86/772.41 = 335.80/x
  3. Step 3: Cross multiply
    559.86x = 772.41 × 335.80
  4. Step 4: Simplify right side
    559.86x = 259,372.21
  5. Step 5: Solve for x
    x = 259,372.21/559.86
  6. Step 6: Final answer
    x = 463.28

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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.