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Finding the Fourth Proportional to 536.28, 804.34 and 228.07

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Solution

The fourth proportional to 536.28, 804.34 and 228.07 is: 342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.28 : 804.34 = 228.07 : x
  2. Step 2: Convert to fraction form
    536.28/804.34 = 228.07/x
  3. Step 3: Cross multiply
    536.28x = 804.34 × 228.07
  4. Step 4: Simplify right side
    536.28x = 183,445.82
  5. Step 5: Solve for x
    x = 183,445.82/536.28
  6. Step 6: Final answer
    x = 342.07

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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.