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Finding the Fourth Proportional to 409.69, 564.08 and 361.73

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Solution

The fourth proportional to 409.69, 564.08 and 361.73 is: 498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 564.08 = 361.73 : x
  2. Step 2: Convert to fraction form
    409.69/564.08 = 361.73/x
  3. Step 3: Cross multiply
    409.69x = 564.08 × 361.73
  4. Step 4: Simplify right side
    409.69x = 204,044.66
  5. Step 5: Solve for x
    x = 204,044.66/409.69
  6. Step 6: Final answer
    x = 498.05

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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.