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Finding the Fourth Proportional to 325.86, 488.77 and 94.75

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Solution

The fourth proportional to 325.86, 488.77 and 94.75 is: 142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.86 : 488.77 = 94.75 : x
  2. Step 2: Convert to fraction form
    325.86/488.77 = 94.75/x
  3. Step 3: Cross multiply
    325.86x = 488.77 × 94.75
  4. Step 4: Simplify right side
    325.86x = 46,310.96
  5. Step 5: Solve for x
    x = 46,310.96/325.86
  6. Step 6: Final answer
    x = 142.12

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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.