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Finding the Fourth Proportional to 610.94, 916.41 and 268.94

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Solution

The fourth proportional to 610.94, 916.41 and 268.94 is: 403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.94 : 916.41 = 268.94 : x
  2. Step 2: Convert to fraction form
    610.94/916.41 = 268.94/x
  3. Step 3: Cross multiply
    610.94x = 916.41 × 268.94
  4. Step 4: Simplify right side
    610.94x = 246,456.01
  5. Step 5: Solve for x
    x = 246,456.01/610.94
  6. Step 6: Final answer
    x = 403.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.