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Finding the Fourth Proportional to 611.38, 916.37 and 286.06

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Solution

The fourth proportional to 611.38, 916.37 and 286.06 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.38 : 916.37 = 286.06 : x
  2. Step 2: Convert to fraction form
    611.38/916.37 = 286.06/x
  3. Step 3: Cross multiply
    611.38x = 916.37 × 286.06
  4. Step 4: Simplify right side
    611.38x = 262,136.80
  5. Step 5: Solve for x
    x = 262,136.80/611.38
  6. Step 6: Final answer
    x = 428.76

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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.