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Finding the Fourth Proportional to 409.36, 564.99 and 261.99

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Solution

The fourth proportional to 409.36, 564.99 and 261.99 is: 361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.36 : 564.99 = 261.99 : x
  2. Step 2: Convert to fraction form
    409.36/564.99 = 261.99/x
  3. Step 3: Cross multiply
    409.36x = 564.99 × 261.99
  4. Step 4: Simplify right side
    409.36x = 148,021.73
  5. Step 5: Solve for x
    x = 148,021.73/409.36
  6. Step 6: Final answer
    x = 361.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.