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Finding the Fourth Proportional to 406.20, 560.36 and 350.92

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Solution

The fourth proportional to 406.20, 560.36 and 350.92 is: 484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.20 : 560.36 = 350.92 : x
  2. Step 2: Convert to fraction form
    406.20/560.36 = 350.92/x
  3. Step 3: Cross multiply
    406.20x = 560.36 × 350.92
  4. Step 4: Simplify right side
    406.20x = 196,641.53
  5. Step 5: Solve for x
    x = 196,641.53/406.20
  6. Step 6: Final answer
    x = 484.10

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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.