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Finding the Fourth Proportional to 426.07, 639.17 and 195.02

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Solution

The fourth proportional to 426.07, 639.17 and 195.02 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.07 : 639.17 = 195.02 : x
  2. Step 2: Convert to fraction form
    426.07/639.17 = 195.02/x
  3. Step 3: Cross multiply
    426.07x = 639.17 × 195.02
  4. Step 4: Simplify right side
    426.07x = 124,650.93
  5. Step 5: Solve for x
    x = 124,650.93/426.07
  6. Step 6: Final answer
    x = 292.56

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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.