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Finding the Fourth Proportional to 325.52, 446.61 and 297.98

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Solution

The fourth proportional to 325.52, 446.61 and 297.98 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.52 : 446.61 = 297.98 : x
  2. Step 2: Convert to fraction form
    325.52/446.61 = 297.98/x
  3. Step 3: Cross multiply
    325.52x = 446.61 × 297.98
  4. Step 4: Simplify right side
    325.52x = 133,081.41
  5. Step 5: Solve for x
    x = 133,081.41/325.52
  6. Step 6: Final answer
    x = 408.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.