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Finding the Fourth Proportional to 409.40, 565.14 and 262.04

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Solution

The fourth proportional to 409.40, 565.14 and 262.04 is: 361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.40 : 565.14 = 262.04 : x
  2. Step 2: Convert to fraction form
    409.40/565.14 = 262.04/x
  3. Step 3: Cross multiply
    409.40x = 565.14 × 262.04
  4. Step 4: Simplify right side
    409.40x = 148,089.29
  5. Step 5: Solve for x
    x = 148,089.29/409.40
  6. Step 6: Final answer
    x = 361.72

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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.