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Finding the Fourth Proportional to 298.31, 411.35 and 248.49

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Solution

The fourth proportional to 298.31, 411.35 and 248.49 is: 342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.31 : 411.35 = 248.49 : x
  2. Step 2: Convert to fraction form
    298.31/411.35 = 248.49/x
  3. Step 3: Cross multiply
    298.31x = 411.35 × 248.49
  4. Step 4: Simplify right side
    298.31x = 102,215.12
  5. Step 5: Solve for x
    x = 102,215.12/298.31
  6. Step 6: Final answer
    x = 342.65

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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.