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Finding the Fourth Proportional to 411.94, 615.02 and 362.34

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Solution

The fourth proportional to 411.94, 615.02 and 362.34 is: 540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 615.02 = 362.34 : x
  2. Step 2: Convert to fraction form
    411.94/615.02 = 362.34/x
  3. Step 3: Cross multiply
    411.94x = 615.02 × 362.34
  4. Step 4: Simplify right side
    411.94x = 222,844.54
  5. Step 5: Solve for x
    x = 222,844.54/411.94
  6. Step 6: Final answer
    x = 540.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.