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Finding the Fourth Proportional to 642.50, 963.81 and 209.54

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Solution

The fourth proportional to 642.50, 963.81 and 209.54 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.50 : 963.81 = 209.54 : x
  2. Step 2: Convert to fraction form
    642.50/963.81 = 209.54/x
  3. Step 3: Cross multiply
    642.50x = 963.81 × 209.54
  4. Step 4: Simplify right side
    642.50x = 201,956.75
  5. Step 5: Solve for x
    x = 201,956.75/642.50
  6. Step 6: Final answer
    x = 314.33

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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.