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Finding the Fourth Proportional to 409.28, 565.20 and 350.72

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Solution

The fourth proportional to 409.28, 565.20 and 350.72 is: 484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.28 : 565.20 = 350.72 : x
  2. Step 2: Convert to fraction form
    409.28/565.20 = 350.72/x
  3. Step 3: Cross multiply
    409.28x = 565.20 × 350.72
  4. Step 4: Simplify right side
    409.28x = 198,226.94
  5. Step 5: Solve for x
    x = 198,226.94/409.28
  6. Step 6: Final answer
    x = 484.33

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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.