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Finding the Fourth Proportional to 630.71, 945.96 and 197.75

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Solution

The fourth proportional to 630.71, 945.96 and 197.75 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.71 : 945.96 = 197.75 : x
  2. Step 2: Convert to fraction form
    630.71/945.96 = 197.75/x
  3. Step 3: Cross multiply
    630.71x = 945.96 × 197.75
  4. Step 4: Simplify right side
    630.71x = 187,063.59
  5. Step 5: Solve for x
    x = 187,063.59/630.71
  6. Step 6: Final answer
    x = 296.59

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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.