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Finding the Fourth Proportional to 467.56, 645.28 and 320.68

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Solution

The fourth proportional to 467.56, 645.28 and 320.68 is: 442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.56 : 645.28 = 320.68 : x
  2. Step 2: Convert to fraction form
    467.56/645.28 = 320.68/x
  3. Step 3: Cross multiply
    467.56x = 645.28 × 320.68
  4. Step 4: Simplify right side
    467.56x = 206,928.39
  5. Step 5: Solve for x
    x = 206,928.39/467.56
  6. Step 6: Final answer
    x = 442.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.