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Finding the Fourth Proportional to 361.11, 541.35 and 296.10

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Solution

The fourth proportional to 361.11, 541.35 and 296.10 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.11 : 541.35 = 296.10 : x
  2. Step 2: Convert to fraction form
    361.11/541.35 = 296.10/x
  3. Step 3: Cross multiply
    361.11x = 541.35 × 296.10
  4. Step 4: Simplify right side
    361.11x = 160,293.74
  5. Step 5: Solve for x
    x = 160,293.74/361.11
  6. Step 6: Final answer
    x = 443.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.