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Finding the Fourth Proportional to 298.81, 447.81 and 258.31

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Solution

The fourth proportional to 298.81, 447.81 and 258.31 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.81 : 447.81 = 258.31 : x
  2. Step 2: Convert to fraction form
    298.81/447.81 = 258.31/x
  3. Step 3: Cross multiply
    298.81x = 447.81 × 258.31
  4. Step 4: Simplify right side
    298.81x = 115,673.80
  5. Step 5: Solve for x
    x = 115,673.80/298.81
  6. Step 6: Final answer
    x = 387.11

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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.