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Finding the Fourth Proportional to 642.01, 963.11 and 209.06

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Solution

The fourth proportional to 642.01, 963.11 and 209.06 is: 313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.01 : 963.11 = 209.06 : x
  2. Step 2: Convert to fraction form
    642.01/963.11 = 209.06/x
  3. Step 3: Cross multiply
    642.01x = 963.11 × 209.06
  4. Step 4: Simplify right side
    642.01x = 201,350.71
  5. Step 5: Solve for x
    x = 201,350.71/642.01
  6. Step 6: Final answer
    x = 313.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.