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Finding the Fourth Proportional to 536.38, 804.15 and 228.22

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Solution

The fourth proportional to 536.38, 804.15 and 228.22 is: 342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.38 : 804.15 = 228.22 : x
  2. Step 2: Convert to fraction form
    536.38/804.15 = 228.22/x
  3. Step 3: Cross multiply
    536.38x = 804.15 × 228.22
  4. Step 4: Simplify right side
    536.38x = 183,523.11
  5. Step 5: Solve for x
    x = 183,523.11/536.38
  6. Step 6: Final answer
    x = 342.15

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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.