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Finding the Fourth Proportional to 630.71, 945.91 and 197.87

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Solution

The fourth proportional to 630.71, 945.91 and 197.87 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.71 : 945.91 = 197.87 : x
  2. Step 2: Convert to fraction form
    630.71/945.91 = 197.87/x
  3. Step 3: Cross multiply
    630.71x = 945.91 × 197.87
  4. Step 4: Simplify right side
    630.71x = 187,162.73
  5. Step 5: Solve for x
    x = 187,162.73/630.71
  6. Step 6: Final answer
    x = 296.75

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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.