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Finding the Fourth Proportional to 646.97, 970.47 and 281.66

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Solution

The fourth proportional to 646.97, 970.47 and 281.66 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.97 : 970.47 = 281.66 : x
  2. Step 2: Convert to fraction form
    646.97/970.47 = 281.66/x
  3. Step 3: Cross multiply
    646.97x = 970.47 × 281.66
  4. Step 4: Simplify right side
    646.97x = 273,337.73
  5. Step 5: Solve for x
    x = 273,337.73/646.97
  6. Step 6: Final answer
    x = 422.49

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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.