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Finding the Fourth Proportional to 642.76, 964.24 and 209.81

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Solution

The fourth proportional to 642.76, 964.24 and 209.81 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.76 : 964.24 = 209.81 : x
  2. Step 2: Convert to fraction form
    642.76/964.24 = 209.81/x
  3. Step 3: Cross multiply
    642.76x = 964.24 × 209.81
  4. Step 4: Simplify right side
    642.76x = 202,309.08
  5. Step 5: Solve for x
    x = 202,309.08/642.76
  6. Step 6: Final answer
    x = 314.75

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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.