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Finding the Fourth Proportional to 409.17, 564.51 and 261.89

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Solution

The fourth proportional to 409.17, 564.51 and 261.89 is: 361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.17 : 564.51 = 261.89 : x
  2. Step 2: Convert to fraction form
    409.17/564.51 = 261.89/x
  3. Step 3: Cross multiply
    409.17x = 564.51 × 261.89
  4. Step 4: Simplify right side
    409.17x = 147,839.80
  5. Step 5: Solve for x
    x = 147,839.80/409.17
  6. Step 6: Final answer
    x = 361.31

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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.