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Finding the Fourth Proportional to 298.34, 447.02 and 217.34

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Solution

The fourth proportional to 298.34, 447.02 and 217.34 is: 325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.34 : 447.02 = 217.34 : x
  2. Step 2: Convert to fraction form
    298.34/447.02 = 217.34/x
  3. Step 3: Cross multiply
    298.34x = 447.02 × 217.34
  4. Step 4: Simplify right side
    298.34x = 97,155.33
  5. Step 5: Solve for x
    x = 97,155.33/298.34
  6. Step 6: Final answer
    x = 325.65

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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.