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Finding the Fourth Proportional to 327.86, 491.67 and 96.77

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Solution

The fourth proportional to 327.86, 491.67 and 96.77 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.86 : 491.67 = 96.77 : x
  2. Step 2: Convert to fraction form
    327.86/491.67 = 96.77/x
  3. Step 3: Cross multiply
    327.86x = 491.67 × 96.77
  4. Step 4: Simplify right side
    327.86x = 47,576.45
  5. Step 5: Solve for x
    x = 47,576.45/327.86
  6. Step 6: Final answer
    x = 145.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.