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Finding the Fourth Proportional to 398.58, 550.77 and 321.78

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Solution

The fourth proportional to 398.58, 550.77 and 321.78 is: 444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.58 : 550.77 = 321.78 : x
  2. Step 2: Convert to fraction form
    398.58/550.77 = 321.78/x
  3. Step 3: Cross multiply
    398.58x = 550.77 × 321.78
  4. Step 4: Simplify right side
    398.58x = 177,226.77
  5. Step 5: Solve for x
    x = 177,226.77/398.58
  6. Step 6: Final answer
    x = 444.65

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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.