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Finding the Fourth Proportional to 327.42, 452.46 and 319.86

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Solution

The fourth proportional to 327.42, 452.46 and 319.86 is: 442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 452.46 = 319.86 : x
  2. Step 2: Convert to fraction form
    327.42/452.46 = 319.86/x
  3. Step 3: Cross multiply
    327.42x = 452.46 × 319.86
  4. Step 4: Simplify right side
    327.42x = 144,723.86
  5. Step 5: Solve for x
    x = 144,723.86/327.42
  6. Step 6: Final answer
    x = 442.01

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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.