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Finding the Fourth Proportional to 642.09, 963.39 and 334.14

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Solution

The fourth proportional to 642.09, 963.39 and 334.14 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.09 : 963.39 = 334.14 : x
  2. Step 2: Convert to fraction form
    642.09/963.39 = 334.14/x
  3. Step 3: Cross multiply
    642.09x = 963.39 × 334.14
  4. Step 4: Simplify right side
    642.09x = 321,902.32
  5. Step 5: Solve for x
    x = 321,902.32/642.09
  6. Step 6: Final answer
    x = 501.34

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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.