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Finding the Fourth Proportional to 409.57, 564.98 and 262.04

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Solution

The fourth proportional to 409.57, 564.98 and 262.04 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.57 : 564.98 = 262.04 : x
  2. Step 2: Convert to fraction form
    409.57/564.98 = 262.04/x
  3. Step 3: Cross multiply
    409.57x = 564.98 × 262.04
  4. Step 4: Simplify right side
    409.57x = 148,047.36
  5. Step 5: Solve for x
    x = 148,047.36/409.57
  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.