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Finding the Fourth Proportional to 553.46, 829.46 and 228.44

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Solution

The fourth proportional to 553.46, 829.46 and 228.44 is: 342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.46 : 829.46 = 228.44 : x
  2. Step 2: Convert to fraction form
    553.46/829.46 = 228.44/x
  3. Step 3: Cross multiply
    553.46x = 829.46 × 228.44
  4. Step 4: Simplify right side
    553.46x = 189,481.84
  5. Step 5: Solve for x
    x = 189,481.84/553.46
  6. Step 6: Final answer
    x = 342.36

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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.