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Finding the Fourth Proportional to 425.58, 638.67 and 194.49

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Solution

The fourth proportional to 425.58, 638.67 and 194.49 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.58 : 638.67 = 194.49 : x
  2. Step 2: Convert to fraction form
    425.58/638.67 = 194.49/x
  3. Step 3: Cross multiply
    425.58x = 638.67 × 194.49
  4. Step 4: Simplify right side
    425.58x = 124,214.93
  5. Step 5: Solve for x
    x = 124,214.93/425.58
  6. Step 6: Final answer
    x = 291.87

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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.