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Finding the Fourth Proportional to 406.64, 559.96 and 398.12

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Solution

The fourth proportional to 406.64, 559.96 and 398.12 is: 548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 559.96 = 398.12 : x
  2. Step 2: Convert to fraction form
    406.64/559.96 = 398.12/x
  3. Step 3: Cross multiply
    406.64x = 559.96 × 398.12
  4. Step 4: Simplify right side
    406.64x = 222,931.28
  5. Step 5: Solve for x
    x = 222,931.28/406.64
  6. Step 6: Final answer
    x = 548.23

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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.