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Finding the Fourth Proportional to 642.03, 963.87 and 334.09

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Solution

The fourth proportional to 642.03, 963.87 and 334.09 is: 501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.03 : 963.87 = 334.09 : x
  2. Step 2: Convert to fraction form
    642.03/963.87 = 334.09/x
  3. Step 3: Cross multiply
    642.03x = 963.87 × 334.09
  4. Step 4: Simplify right side
    642.03x = 322,019.28
  5. Step 5: Solve for x
    x = 322,019.28/642.03
  6. Step 6: Final answer
    x = 501.57

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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.