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Finding the Fourth Proportional to 400.28, 599.80 and 208.04

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Solution

The fourth proportional to 400.28, 599.80 and 208.04 is: 311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 599.80 = 208.04 : x
  2. Step 2: Convert to fraction form
    400.28/599.80 = 208.04/x
  3. Step 3: Cross multiply
    400.28x = 599.80 × 208.04
  4. Step 4: Simplify right side
    400.28x = 124,782.39
  5. Step 5: Solve for x
    x = 124,782.39/400.28
  6. Step 6: Final answer
    x = 311.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.