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Finding the Fourth Proportional to 641.81, 961.85 and 333.02

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Solution

The fourth proportional to 641.81, 961.85 and 333.02 is: 499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.81 : 961.85 = 333.02 : x
  2. Step 2: Convert to fraction form
    641.81/961.85 = 333.02/x
  3. Step 3: Cross multiply
    641.81x = 961.85 × 333.02
  4. Step 4: Simplify right side
    641.81x = 320,315.29
  5. Step 5: Solve for x
    x = 320,315.29/641.81
  6. Step 6: Final answer
    x = 499.08

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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.