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Finding the Fourth Proportional to 322.86, 484.24 and 91.77

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Solution

The fourth proportional to 322.86, 484.24 and 91.77 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.86 : 484.24 = 91.77 : x
  2. Step 2: Convert to fraction form
    322.86/484.24 = 91.77/x
  3. Step 3: Cross multiply
    322.86x = 484.24 × 91.77
  4. Step 4: Simplify right side
    322.86x = 44,438.70
  5. Step 5: Solve for x
    x = 44,438.70/322.86
  6. Step 6: Final answer
    x = 137.64

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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.