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Finding the Fourth Proportional to 409.38, 565.07 and 335.88

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Solution

The fourth proportional to 409.38, 565.07 and 335.88 is: 463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 565.07 = 335.88 : x
  2. Step 2: Convert to fraction form
    409.38/565.07 = 335.88/x
  3. Step 3: Cross multiply
    409.38x = 565.07 × 335.88
  4. Step 4: Simplify right side
    409.38x = 189,794.03
  5. Step 5: Solve for x
    x = 189,794.03/409.38
  6. Step 6: Final answer
    x = 463.61

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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.