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Finding the Fourth Proportional to 642.59, 963.26 and 410.82

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Solution

The fourth proportional to 642.59, 963.26 and 410.82 is: 615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.59 : 963.26 = 410.82 : x
  2. Step 2: Convert to fraction form
    642.59/963.26 = 410.82/x
  3. Step 3: Cross multiply
    642.59x = 963.26 × 410.82
  4. Step 4: Simplify right side
    642.59x = 395,724.42
  5. Step 5: Solve for x
    x = 395,724.42/642.59
  6. Step 6: Final answer
    x = 615.83

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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.