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Finding the Fourth Proportional to 642.29, 963.63 and 277.11

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Solution

The fourth proportional to 642.29, 963.63 and 277.11 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.29 : 963.63 = 277.11 : x
  2. Step 2: Convert to fraction form
    642.29/963.63 = 277.11/x
  3. Step 3: Cross multiply
    642.29x = 963.63 × 277.11
  4. Step 4: Simplify right side
    642.29x = 267,031.51
  5. Step 5: Solve for x
    x = 267,031.51/642.29
  6. Step 6: Final answer
    x = 415.75

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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.