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Finding the Fourth Proportional to 630.69, 946.03 and 197.88

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Solution

The fourth proportional to 630.69, 946.03 and 197.88 is: 296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.69 : 946.03 = 197.88 : x
  2. Step 2: Convert to fraction form
    630.69/946.03 = 197.88/x
  3. Step 3: Cross multiply
    630.69x = 946.03 × 197.88
  4. Step 4: Simplify right side
    630.69x = 187,195.69
  5. Step 5: Solve for x
    x = 187,195.69/630.69
  6. Step 6: Final answer
    x = 296.81

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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.