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Finding the Fourth Proportional to 467.41, 644.52 and 320.13

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Solution

The fourth proportional to 467.41, 644.52 and 320.13 is: 441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.41 : 644.52 = 320.13 : x
  2. Step 2: Convert to fraction form
    467.41/644.52 = 320.13/x
  3. Step 3: Cross multiply
    467.41x = 644.52 × 320.13
  4. Step 4: Simplify right side
    467.41x = 206,330.19
  5. Step 5: Solve for x
    x = 206,330.19/467.41
  6. Step 6: Final answer
    x = 441.43

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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.