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Finding the Fourth Proportional to 536.38, 804.84 and 406.33

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Solution

The fourth proportional to 536.38, 804.84 and 406.33 is: 609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.38 : 804.84 = 406.33 : x
  2. Step 2: Convert to fraction form
    536.38/804.84 = 406.33/x
  3. Step 3: Cross multiply
    536.38x = 804.84 × 406.33
  4. Step 4: Simplify right side
    536.38x = 327,028.63
  5. Step 5: Solve for x
    x = 327,028.63/536.38
  6. Step 6: Final answer
    x = 609.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.