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Finding the Fourth Proportional to 642.40, 962.90 and 423.12

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Solution

The fourth proportional to 642.40, 962.90 and 423.12 is: 634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.40 : 962.90 = 423.12 : x
  2. Step 2: Convert to fraction form
    642.40/962.90 = 423.12/x
  3. Step 3: Cross multiply
    642.40x = 962.90 × 423.12
  4. Step 4: Simplify right side
    642.40x = 407,422.25
  5. Step 5: Solve for x
    x = 407,422.25/642.40
  6. Step 6: Final answer
    x = 634.22

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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.