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Finding the Fourth Proportional to 467.35, 645.11 and 320.47

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Solution

The fourth proportional to 467.35, 645.11 and 320.47 is: 442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.35 : 645.11 = 320.47 : x
  2. Step 2: Convert to fraction form
    467.35/645.11 = 320.47/x
  3. Step 3: Cross multiply
    467.35x = 645.11 × 320.47
  4. Step 4: Simplify right side
    467.35x = 206,736.80
  5. Step 5: Solve for x
    x = 206,736.80/467.35
  6. Step 6: Final answer
    x = 442.36

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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.