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Finding the Fourth Proportional to 645.43, 967.96 and 320.71

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Solution

The fourth proportional to 645.43, 967.96 and 320.71 is: 480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.43 : 967.96 = 320.71 : x
  2. Step 2: Convert to fraction form
    645.43/967.96 = 320.71/x
  3. Step 3: Cross multiply
    645.43x = 967.96 × 320.71
  4. Step 4: Simplify right side
    645.43x = 310,434.45
  5. Step 5: Solve for x
    x = 310,434.45/645.43
  6. Step 6: Final answer
    x = 480.97

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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.