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Finding the Fourth Proportional to 400.40, 599.40 and 357.20

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Solution

The fourth proportional to 400.40, 599.40 and 357.20 is: 534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.40 : 599.40 = 357.20 : x
  2. Step 2: Convert to fraction form
    400.40/599.40 = 357.20/x
  3. Step 3: Cross multiply
    400.40x = 599.40 × 357.20
  4. Step 4: Simplify right side
    400.40x = 214,105.68
  5. Step 5: Solve for x
    x = 214,105.68/400.40
  6. Step 6: Final answer
    x = 534.73

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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.