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Finding the Fourth Proportional to 642.87, 963.63 and 412.02

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Solution

The fourth proportional to 642.87, 963.63 and 412.02 is: 617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.87 : 963.63 = 412.02 : x
  2. Step 2: Convert to fraction form
    642.87/963.63 = 412.02/x
  3. Step 3: Cross multiply
    642.87x = 963.63 × 412.02
  4. Step 4: Simplify right side
    642.87x = 397,034.83
  5. Step 5: Solve for x
    x = 397,034.83/642.87
  6. Step 6: Final answer
    x = 617.60

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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.