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Finding the Fourth Proportional to 409.52, 565.14 and 262.22

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Solution

The fourth proportional to 409.52, 565.14 and 262.22 is: 361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.52 : 565.14 = 262.22 : x
  2. Step 2: Convert to fraction form
    409.52/565.14 = 262.22/x
  3. Step 3: Cross multiply
    409.52x = 565.14 × 262.22
  4. Step 4: Simplify right side
    409.52x = 148,191.01
  5. Step 5: Solve for x
    x = 148,191.01/409.52
  6. Step 6: Final answer
    x = 361.87

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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.