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Finding the Fourth Proportional to 559.63, 772.38 and 326.71

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Solution

The fourth proportional to 559.63, 772.38 and 326.71 is: 450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.63 : 772.38 = 326.71 : x
  2. Step 2: Convert to fraction form
    559.63/772.38 = 326.71/x
  3. Step 3: Cross multiply
    559.63x = 772.38 × 326.71
  4. Step 4: Simplify right side
    559.63x = 252,338.77
  5. Step 5: Solve for x
    x = 252,338.77/559.63
  6. Step 6: Final answer
    x = 450.91

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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.