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Finding the Fourth Proportional to 610.81, 916.22 and 268.81

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Solution

The fourth proportional to 610.81, 916.22 and 268.81 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.81 : 916.22 = 268.81 : x
  2. Step 2: Convert to fraction form
    610.81/916.22 = 268.81/x
  3. Step 3: Cross multiply
    610.81x = 916.22 × 268.81
  4. Step 4: Simplify right side
    610.81x = 246,291.05
  5. Step 5: Solve for x
    x = 246,291.05/610.81
  6. Step 6: Final answer
    x = 403.22

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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.