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Finding the Fourth Proportional to 420.47, 630.69 and 127.97

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Solution

The fourth proportional to 420.47, 630.69 and 127.97 is: 191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.47 : 630.69 = 127.97 : x
  2. Step 2: Convert to fraction form
    420.47/630.69 = 127.97/x
  3. Step 3: Cross multiply
    420.47x = 630.69 × 127.97
  4. Step 4: Simplify right side
    420.47x = 80,708.01
  5. Step 5: Solve for x
    x = 80,708.01/420.47
  6. Step 6: Final answer
    x = 191.95

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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.