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Finding the Fourth Proportional to 916.92, 1,375.14 and 300.30

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Solution

The fourth proportional to 916.92, 1,375.14 and 300.30 is: 450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.92 : 1,375.14 = 300.30 : x
  2. Step 2: Convert to fraction form
    916.92/1,375.14 = 300.30/x
  3. Step 3: Cross multiply
    916.92x = 1,375.14 × 300.30
  4. Step 4: Simplify right side
    916.92x = 412,954.54
  5. Step 5: Solve for x
    x = 412,954.54/916.92
  6. Step 6: Final answer
    x = 450.37

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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.