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Finding the Fourth Proportional to 467.10, 644.04 and 319.86

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Solution

The fourth proportional to 467.10, 644.04 and 319.86 is: 441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.10 : 644.04 = 319.86 : x
  2. Step 2: Convert to fraction form
    467.10/644.04 = 319.86/x
  3. Step 3: Cross multiply
    467.10x = 644.04 × 319.86
  4. Step 4: Simplify right side
    467.10x = 206,002.63
  5. Step 5: Solve for x
    x = 206,002.63/467.10
  6. Step 6: Final answer
    x = 441.02

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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.