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Finding the Fourth Proportional to 643.24, 963.56 and 296.09

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Solution

The fourth proportional to 643.24, 963.56 and 296.09 is: 443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 963.56 = 296.09 : x
  2. Step 2: Convert to fraction form
    643.24/963.56 = 296.09/x
  3. Step 3: Cross multiply
    643.24x = 963.56 × 296.09
  4. Step 4: Simplify right side
    643.24x = 285,298.07
  5. Step 5: Solve for x
    x = 285,298.07/643.24
  6. Step 6: Final answer
    x = 443.54

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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.