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Finding the Fourth Proportional to 361.28, 498.62 and 237.05

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Solution

The fourth proportional to 361.28, 498.62 and 237.05 is: 327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 498.62 = 237.05 : x
  2. Step 2: Convert to fraction form
    361.28/498.62 = 237.05/x
  3. Step 3: Cross multiply
    361.28x = 498.62 × 237.05
  4. Step 4: Simplify right side
    361.28x = 118,194.19
  5. Step 5: Solve for x
    x = 118,194.19/361.28
  6. Step 6: Final answer
    x = 327.15

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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.