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Finding the Fourth Proportional to 297.15, 445.31 and 219.51

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Solution

The fourth proportional to 297.15, 445.31 and 219.51 is: 328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.15 : 445.31 = 219.51 : x
  2. Step 2: Convert to fraction form
    297.15/445.31 = 219.51/x
  3. Step 3: Cross multiply
    297.15x = 445.31 × 219.51
  4. Step 4: Simplify right side
    297.15x = 97,750.00
  5. Step 5: Solve for x
    x = 97,750.00/297.15
  6. Step 6: Final answer
    x = 328.96

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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.