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Finding the Fourth Proportional to 536.20, 804.30 and 406.60

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Solution

The fourth proportional to 536.20, 804.30 and 406.60 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.20 : 804.30 = 406.60 : x
  2. Step 2: Convert to fraction form
    536.20/804.30 = 406.60/x
  3. Step 3: Cross multiply
    536.20x = 804.30 × 406.60
  4. Step 4: Simplify right side
    536.20x = 327,028.38
  5. Step 5: Solve for x
    x = 327,028.38/536.20
  6. Step 6: Final answer
    x = 609.90

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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.