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Finding the Fourth Proportional to 409.16, 564.21 and 261.80

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Solution

The fourth proportional to 409.16, 564.21 and 261.80 is: 361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.16 : 564.21 = 261.80 : x
  2. Step 2: Convert to fraction form
    409.16/564.21 = 261.80/x
  3. Step 3: Cross multiply
    409.16x = 564.21 × 261.80
  4. Step 4: Simplify right side
    409.16x = 147,710.18
  5. Step 5: Solve for x
    x = 147,710.18/409.16
  6. Step 6: Final answer
    x = 361.01

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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.