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Finding the Fourth Proportional to 361.97, 498.96 and 283.11

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Solution

The fourth proportional to 361.97, 498.96 and 283.11 is: 390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.97 : 498.96 = 283.11 : x
  2. Step 2: Convert to fraction form
    361.97/498.96 = 283.11/x
  3. Step 3: Cross multiply
    361.97x = 498.96 × 283.11
  4. Step 4: Simplify right side
    361.97x = 141,260.57
  5. Step 5: Solve for x
    x = 141,260.57/361.97
  6. Step 6: Final answer
    x = 390.26

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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.