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Finding the Fourth Proportional to 334.11, 460.40 and 282.27

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Solution

The fourth proportional to 334.11, 460.40 and 282.27 is: 388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.11 : 460.40 = 282.27 : x
  2. Step 2: Convert to fraction form
    334.11/460.40 = 282.27/x
  3. Step 3: Cross multiply
    334.11x = 460.40 × 282.27
  4. Step 4: Simplify right side
    334.11x = 129,955.70
  5. Step 5: Solve for x
    x = 129,955.70/334.11
  6. Step 6: Final answer
    x = 388.96

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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.