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Finding the Fourth Proportional to 467.08, 645.20 and 319.46

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Solution

The fourth proportional to 467.08, 645.20 and 319.46 is: 441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.08 : 645.20 = 319.46 : x
  2. Step 2: Convert to fraction form
    467.08/645.20 = 319.46/x
  3. Step 3: Cross multiply
    467.08x = 645.20 × 319.46
  4. Step 4: Simplify right side
    467.08x = 206,111.97
  5. Step 5: Solve for x
    x = 206,111.97/467.08
  6. Step 6: Final answer
    x = 441.28

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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.