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Finding the Fourth Proportional to 409.23, 564.73 and 261.83

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Solution

The fourth proportional to 409.23, 564.73 and 261.83 is: 361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 564.73 = 261.83 : x
  2. Step 2: Convert to fraction form
    409.23/564.73 = 261.83/x
  3. Step 3: Cross multiply
    409.23x = 564.73 × 261.83
  4. Step 4: Simplify right side
    409.23x = 147,864.01
  5. Step 5: Solve for x
    x = 147,864.01/409.23
  6. Step 6: Final answer
    x = 361.32

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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.