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Finding the Fourth Proportional to 400.52, 599.46 and 386.24

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Solution

The fourth proportional to 400.52, 599.46 and 386.24 is: 578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.52 : 599.46 = 386.24 : x
  2. Step 2: Convert to fraction form
    400.52/599.46 = 386.24/x
  3. Step 3: Cross multiply
    400.52x = 599.46 × 386.24
  4. Step 4: Simplify right side
    400.52x = 231,535.43
  5. Step 5: Solve for x
    x = 231,535.43/400.52
  6. Step 6: Final answer
    x = 578.09

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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.