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Finding the Fourth Proportional to 453.19, 678.84 and 398.41

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Solution

The fourth proportional to 453.19, 678.84 and 398.41 is: 596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.19 : 678.84 = 398.41 : x
  2. Step 2: Convert to fraction form
    453.19/678.84 = 398.41/x
  3. Step 3: Cross multiply
    453.19x = 678.84 × 398.41
  4. Step 4: Simplify right side
    453.19x = 270,456.64
  5. Step 5: Solve for x
    x = 270,456.64/453.19
  6. Step 6: Final answer
    x = 596.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.