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Finding the Fourth Proportional to 642.23, 963.47 and 209.34

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Solution

The fourth proportional to 642.23, 963.47 and 209.34 is: 314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.23 : 963.47 = 209.34 : x
  2. Step 2: Convert to fraction form
    642.23/963.47 = 209.34/x
  3. Step 3: Cross multiply
    642.23x = 963.47 × 209.34
  4. Step 4: Simplify right side
    642.23x = 201,691.76
  5. Step 5: Solve for x
    x = 201,691.76/642.23
  6. Step 6: Final answer
    x = 314.05

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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.