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Finding the Fourth Proportional to 297.07, 445.28 and 228.42

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Solution

The fourth proportional to 297.07, 445.28 and 228.42 is: 342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.07 : 445.28 = 228.42 : x
  2. Step 2: Convert to fraction form
    297.07/445.28 = 228.42/x
  3. Step 3: Cross multiply
    297.07x = 445.28 × 228.42
  4. Step 4: Simplify right side
    297.07x = 101,709.72
  5. Step 5: Solve for x
    x = 101,709.72/297.07
  6. Step 6: Final answer
    x = 342.38

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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.