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Finding the Fourth Proportional to 439.43, 658.74 and 195.76

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Solution

The fourth proportional to 439.43, 658.74 and 195.76 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.43 : 658.74 = 195.76 : x
  2. Step 2: Convert to fraction form
    439.43/658.74 = 195.76/x
  3. Step 3: Cross multiply
    439.43x = 658.74 × 195.76
  4. Step 4: Simplify right side
    439.43x = 128,953.30
  5. Step 5: Solve for x
    x = 128,953.30/439.43
  6. Step 6: Final answer
    x = 293.45

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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.