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Finding the Fourth Proportional to 642.80, 963.54 and 277.28

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Solution

The fourth proportional to 642.80, 963.54 and 277.28 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.80 : 963.54 = 277.28 : x
  2. Step 2: Convert to fraction form
    642.80/963.54 = 277.28/x
  3. Step 3: Cross multiply
    642.80x = 963.54 × 277.28
  4. Step 4: Simplify right side
    642.80x = 267,170.37
  5. Step 5: Solve for x
    x = 267,170.37/642.80
  6. Step 6: Final answer
    x = 415.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.