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Finding the Fourth Proportional to 642.41, 964.20 and 426.14

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Solution

The fourth proportional to 642.41, 964.20 and 426.14 is: 639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.41 : 964.20 = 426.14 : x
  2. Step 2: Convert to fraction form
    642.41/964.20 = 426.14/x
  3. Step 3: Cross multiply
    642.41x = 964.20 × 426.14
  4. Step 4: Simplify right side
    642.41x = 410,884.19
  5. Step 5: Solve for x
    x = 410,884.19/642.41
  6. Step 6: Final answer
    x = 639.60

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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.