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Finding the Fourth Proportional to 491.05, 735.97 and 216.87

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Solution

The fourth proportional to 491.05, 735.97 and 216.87 is: 325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.05 : 735.97 = 216.87 : x
  2. Step 2: Convert to fraction form
    491.05/735.97 = 216.87/x
  3. Step 3: Cross multiply
    491.05x = 735.97 × 216.87
  4. Step 4: Simplify right side
    491.05x = 159,609.81
  5. Step 5: Solve for x
    x = 159,609.81/491.05
  6. Step 6: Final answer
    x = 325.04

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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.