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Finding the Fourth Proportional to 642.46, 963.08 and 209.31

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Solution

The fourth proportional to 642.46, 963.08 and 209.31 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.46 : 963.08 = 209.31 : x
  2. Step 2: Convert to fraction form
    642.46/963.08 = 209.31/x
  3. Step 3: Cross multiply
    642.46x = 963.08 × 209.31
  4. Step 4: Simplify right side
    642.46x = 201,582.27
  5. Step 5: Solve for x
    x = 201,582.27/642.46
  6. Step 6: Final answer
    x = 313.77

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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.