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Finding the Fourth Proportional to 642.77, 963.84 and 277.41

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Solution

The fourth proportional to 642.77, 963.84 and 277.41 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.77 : 963.84 = 277.41 : x
  2. Step 2: Convert to fraction form
    642.77/963.84 = 277.41/x
  3. Step 3: Cross multiply
    642.77x = 963.84 × 277.41
  4. Step 4: Simplify right side
    642.77x = 267,378.85
  5. Step 5: Solve for x
    x = 267,378.85/642.77
  6. Step 6: Final answer
    x = 415.98

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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.