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Finding the Fourth Proportional to 630.78, 946.26 and 197.79

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Solution

The fourth proportional to 630.78, 946.26 and 197.79 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.78 : 946.26 = 197.79 : x
  2. Step 2: Convert to fraction form
    630.78/946.26 = 197.79/x
  3. Step 3: Cross multiply
    630.78x = 946.26 × 197.79
  4. Step 4: Simplify right side
    630.78x = 187,160.77
  5. Step 5: Solve for x
    x = 187,160.77/630.78
  6. Step 6: Final answer
    x = 296.71

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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.