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Finding the Fourth Proportional to 325.92, 488.26 and 204.42

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Solution

The fourth proportional to 325.92, 488.26 and 204.42 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 488.26 = 204.42 : x
  2. Step 2: Convert to fraction form
    325.92/488.26 = 204.42/x
  3. Step 3: Cross multiply
    325.92x = 488.26 × 204.42
  4. Step 4: Simplify right side
    325.92x = 99,810.11
  5. Step 5: Solve for x
    x = 99,810.11/325.92
  6. Step 6: Final answer
    x = 306.24

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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.