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Finding the Fourth Proportional to 297.72, 411.12 and 215.28

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Solution

The fourth proportional to 297.72, 411.12 and 215.28 is: 297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 411.12 = 215.28 : x
  2. Step 2: Convert to fraction form
    297.72/411.12 = 215.28/x
  3. Step 3: Cross multiply
    297.72x = 411.12 × 215.28
  4. Step 4: Simplify right side
    297.72x = 88,505.91
  5. Step 5: Solve for x
    x = 88,505.91/297.72
  6. Step 6: Final answer
    x = 297.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.