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Finding the Fourth Proportional to 536.04, 804.42 and 399.44

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Solution

The fourth proportional to 536.04, 804.42 and 399.44 is: 599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 804.42 = 399.44 : x
  2. Step 2: Convert to fraction form
    536.04/804.42 = 399.44/x
  3. Step 3: Cross multiply
    536.04x = 804.42 × 399.44
  4. Step 4: Simplify right side
    536.04x = 321,317.52
  5. Step 5: Solve for x
    x = 321,317.52/536.04
  6. Step 6: Final answer
    x = 599.43

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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.