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Finding the Fourth Proportional to 642.84, 964.41 and 277.73

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Solution

The fourth proportional to 642.84, 964.41 and 277.73 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.84 : 964.41 = 277.73 : x
  2. Step 2: Convert to fraction form
    642.84/964.41 = 277.73/x
  3. Step 3: Cross multiply
    642.84x = 964.41 × 277.73
  4. Step 4: Simplify right side
    642.84x = 267,843.34
  5. Step 5: Solve for x
    x = 267,843.34/642.84
  6. Step 6: Final answer
    x = 416.66

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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.