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Finding the Fourth Proportional to 361.56, 498.84 and 206.28

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Solution

The fourth proportional to 361.56, 498.84 and 206.28 is: 284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.56 : 498.84 = 206.28 : x
  2. Step 2: Convert to fraction form
    361.56/498.84 = 206.28/x
  3. Step 3: Cross multiply
    361.56x = 498.84 × 206.28
  4. Step 4: Simplify right side
    361.56x = 102,900.72
  5. Step 5: Solve for x
    x = 102,900.72/361.56
  6. Step 6: Final answer
    x = 284.60

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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.