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Finding the Fourth Proportional to 409.26, 564.95 and 261.86

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Solution

The fourth proportional to 409.26, 564.95 and 261.86 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 564.95 = 261.86 : x
  2. Step 2: Convert to fraction form
    409.26/564.95 = 261.86/x
  3. Step 3: Cross multiply
    409.26x = 564.95 × 261.86
  4. Step 4: Simplify right side
    409.26x = 147,933.67
  5. Step 5: Solve for x
    x = 147,933.67/409.26
  6. Step 6: Final answer
    x = 361.47

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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.