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Finding the Fourth Proportional to 400.22, 599.48 and 207.44

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Solution

The fourth proportional to 400.22, 599.48 and 207.44 is: 310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.22 : 599.48 = 207.44 : x
  2. Step 2: Convert to fraction form
    400.22/599.48 = 207.44/x
  3. Step 3: Cross multiply
    400.22x = 599.48 × 207.44
  4. Step 4: Simplify right side
    400.22x = 124,356.13
  5. Step 5: Solve for x
    x = 124,356.13/400.22
  6. Step 6: Final answer
    x = 310.72

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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.