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Finding the Fourth Proportional to 325.86, 489.15 and 322.62

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Solution

The fourth proportional to 325.86, 489.15 and 322.62 is: 484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.86 : 489.15 = 322.62 : x
  2. Step 2: Convert to fraction form
    325.86/489.15 = 322.62/x
  3. Step 3: Cross multiply
    325.86x = 489.15 × 322.62
  4. Step 4: Simplify right side
    325.86x = 157,809.57
  5. Step 5: Solve for x
    x = 157,809.57/325.86
  6. Step 6: Final answer
    x = 484.29

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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.