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Finding the Fourth Proportional to 467.20, 643.36 and 319.68

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Solution

The fourth proportional to 467.20, 643.36 and 319.68 is: 440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.20 : 643.36 = 319.68 : x
  2. Step 2: Convert to fraction form
    467.20/643.36 = 319.68/x
  3. Step 3: Cross multiply
    467.20x = 643.36 × 319.68
  4. Step 4: Simplify right side
    467.20x = 205,669.32
  5. Step 5: Solve for x
    x = 205,669.32/467.20
  6. Step 6: Final answer
    x = 440.22

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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.