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Finding the Fourth Proportional to 325.48, 448.95 and 238

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Solution

The fourth proportional to 325.48, 448.95 and 238 is: 328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.48 : 448.95 = 238 : x
  2. Step 2: Convert to fraction form
    325.48/448.95 = 238/x
  3. Step 3: Cross multiply
    325.48x = 448.95 × 238
  4. Step 4: Simplify right side
    325.48x = 106,850.10
  5. Step 5: Solve for x
    x = 106,850.10/325.48
  6. Step 6: Final answer
    x = 328.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.