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Finding the Fourth Proportional to 325.71, 448.92 and 238.23

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Solution

The fourth proportional to 325.71, 448.92 and 238.23 is: 328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.71 : 448.92 = 238.23 : x
  2. Step 2: Convert to fraction form
    325.71/448.92 = 238.23/x
  3. Step 3: Cross multiply
    325.71x = 448.92 × 238.23
  4. Step 4: Simplify right side
    325.71x = 106,946.21
  5. Step 5: Solve for x
    x = 106,946.21/325.71
  6. Step 6: Final answer
    x = 328.35

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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.