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Finding the Fourth Proportional to 642.20, 965.08 and 382.23

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Solution

The fourth proportional to 642.20, 965.08 and 382.23 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.20 : 965.08 = 382.23 : x
  2. Step 2: Convert to fraction form
    642.20/965.08 = 382.23/x
  3. Step 3: Cross multiply
    642.20x = 965.08 × 382.23
  4. Step 4: Simplify right side
    642.20x = 368,883.01
  5. Step 5: Solve for x
    x = 368,883.01/642.20
  6. Step 6: Final answer
    x = 574.41

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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.