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Finding the Fourth Proportional to 408.93, 564.48 and 261.69

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Solution

The fourth proportional to 408.93, 564.48 and 261.69 is: 361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.93 : 564.48 = 261.69 : x
  2. Step 2: Convert to fraction form
    408.93/564.48 = 261.69/x
  3. Step 3: Cross multiply
    408.93x = 564.48 × 261.69
  4. Step 4: Simplify right side
    408.93x = 147,718.77
  5. Step 5: Solve for x
    x = 147,718.77/408.93
  6. Step 6: Final answer
    x = 361.23

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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.