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Finding the Fourth Proportional to 642.44, 963.09 and 277.28

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Solution

The fourth proportional to 642.44, 963.09 and 277.28 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.44 : 963.09 = 277.28 : x
  2. Step 2: Convert to fraction form
    642.44/963.09 = 277.28/x
  3. Step 3: Cross multiply
    642.44x = 963.09 × 277.28
  4. Step 4: Simplify right side
    642.44x = 267,045.60
  5. Step 5: Solve for x
    x = 267,045.60/642.44
  6. Step 6: Final answer
    x = 415.67

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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.