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Finding the Fourth Proportional to 327.60, 488.43 and 319.05

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Solution

The fourth proportional to 327.60, 488.43 and 319.05 is: 475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 488.43 = 319.05 : x
  2. Step 2: Convert to fraction form
    327.60/488.43 = 319.05/x
  3. Step 3: Cross multiply
    327.60x = 488.43 × 319.05
  4. Step 4: Simplify right side
    327.60x = 155,833.59
  5. Step 5: Solve for x
    x = 155,833.59/327.60
  6. Step 6: Final answer
    x = 475.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.