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Finding the Fourth Proportional to 642.26, 962.15 and 333.65

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Solution

The fourth proportional to 642.26, 962.15 and 333.65 is: 499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.26 : 962.15 = 333.65 : x
  2. Step 2: Convert to fraction form
    642.26/962.15 = 333.65/x
  3. Step 3: Cross multiply
    642.26x = 962.15 × 333.65
  4. Step 4: Simplify right side
    642.26x = 321,014.87
  5. Step 5: Solve for x
    x = 321,014.87/642.26
  6. Step 6: Final answer
    x = 499.82

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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.