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Finding the Fourth Proportional to 361.23, 498.38 and 221.28

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Solution

The fourth proportional to 361.23, 498.38 and 221.28 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.23 : 498.38 = 221.28 : x
  2. Step 2: Convert to fraction form
    361.23/498.38 = 221.28/x
  3. Step 3: Cross multiply
    361.23x = 498.38 × 221.28
  4. Step 4: Simplify right side
    361.23x = 110,281.27
  5. Step 5: Solve for x
    x = 110,281.27/361.23
  6. Step 6: Final answer
    x = 305.29

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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.