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Finding the Fourth Proportional to 630.67, 946.17 and 197.83

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Solution

The fourth proportional to 630.67, 946.17 and 197.83 is: 296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.67 : 946.17 = 197.83 : x
  2. Step 2: Convert to fraction form
    630.67/946.17 = 197.83/x
  3. Step 3: Cross multiply
    630.67x = 946.17 × 197.83
  4. Step 4: Simplify right side
    630.67x = 187,180.81
  5. Step 5: Solve for x
    x = 187,180.81/630.67
  6. Step 6: Final answer
    x = 296.80

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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.