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Finding the Fourth Proportional to 371.31, 512.08 and 322.17

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Solution

The fourth proportional to 371.31, 512.08 and 322.17 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.31 : 512.08 = 322.17 : x
  2. Step 2: Convert to fraction form
    371.31/512.08 = 322.17/x
  3. Step 3: Cross multiply
    371.31x = 512.08 × 322.17
  4. Step 4: Simplify right side
    371.31x = 164,976.81
  5. Step 5: Solve for x
    x = 164,976.81/371.31
  6. Step 6: Final answer
    x = 444.31

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