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Finding the Fourth Proportional to 298.72, 447.54 and 217.36

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Solution

The fourth proportional to 298.72, 447.54 and 217.36 is: 325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 447.54 = 217.36 : x
  2. Step 2: Convert to fraction form
    298.72/447.54 = 217.36/x
  3. Step 3: Cross multiply
    298.72x = 447.54 × 217.36
  4. Step 4: Simplify right side
    298.72x = 97,277.29
  5. Step 5: Solve for x
    x = 97,277.29/298.72
  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.