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Finding the Fourth Proportional to 610.78, 916.29 and 226.06

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Solution

The fourth proportional to 610.78, 916.29 and 226.06 is: 339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.78 : 916.29 = 226.06 : x
  2. Step 2: Convert to fraction form
    610.78/916.29 = 226.06/x
  3. Step 3: Cross multiply
    610.78x = 916.29 × 226.06
  4. Step 4: Simplify right side
    610.78x = 207,136.52
  5. Step 5: Solve for x
    x = 207,136.52/610.78
  6. Step 6: Final answer
    x = 339.13

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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.