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Finding the Fourth Proportional to 642.97, 964.61 and 277.56

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Solution

The fourth proportional to 642.97, 964.61 and 277.56 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.97 : 964.61 = 277.56 : x
  2. Step 2: Convert to fraction form
    642.97/964.61 = 277.56/x
  3. Step 3: Cross multiply
    642.97x = 964.61 × 277.56
  4. Step 4: Simplify right side
    642.97x = 267,737.15
  5. Step 5: Solve for x
    x = 267,737.15/642.97
  6. Step 6: Final answer
    x = 416.41

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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.