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Finding the Fourth Proportional to 325.93, 489.17 and 171.91

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Solution

The fourth proportional to 325.93, 489.17 and 171.91 is: 258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.93 : 489.17 = 171.91 : x
  2. Step 2: Convert to fraction form
    325.93/489.17 = 171.91/x
  3. Step 3: Cross multiply
    325.93x = 489.17 × 171.91
  4. Step 4: Simplify right side
    325.93x = 84,093.21
  5. Step 5: Solve for x
    x = 84,093.21/325.93
  6. Step 6: Final answer
    x = 258.01

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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.