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Finding the Fourth Proportional to 409.66, 565.14 and 262.26

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Solution

The fourth proportional to 409.66, 565.14 and 262.26 is: 361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.66 : 565.14 = 262.26 : x
  2. Step 2: Convert to fraction form
    409.66/565.14 = 262.26/x
  3. Step 3: Cross multiply
    409.66x = 565.14 × 262.26
  4. Step 4: Simplify right side
    409.66x = 148,213.62
  5. Step 5: Solve for x
    x = 148,213.62/409.66
  6. Step 6: Final answer
    x = 361.80

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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.