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Finding the Fourth Proportional to 611.60, 916.74 and 226.82

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Solution

The fourth proportional to 611.60, 916.74 and 226.82 is: 339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.60 : 916.74 = 226.82 : x
  2. Step 2: Convert to fraction form
    611.60/916.74 = 226.82/x
  3. Step 3: Cross multiply
    611.60x = 916.74 × 226.82
  4. Step 4: Simplify right side
    611.60x = 207,934.97
  5. Step 5: Solve for x
    x = 207,934.97/611.60
  6. Step 6: Final answer
    x = 339.99

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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.