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Finding the Fourth Proportional to 325.92, 448 and 292.44

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Solution

The fourth proportional to 325.92, 448 and 292.44 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 448 = 292.44 : x
  2. Step 2: Convert to fraction form
    325.92/448 = 292.44/x
  3. Step 3: Cross multiply
    325.92x = 448 × 292.44
  4. Step 4: Simplify right side
    325.92x = 131,013.12
  5. Step 5: Solve for x
    x = 131,013.12/325.92
  6. Step 6: Final answer
    x = 401.98

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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.