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Finding the Fourth Proportional to 916.91, 1,375.50 and 300.46

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Solution

The fourth proportional to 916.91, 1,375.50 and 300.46 is: 450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.91 : 1,375.50 = 300.46 : x
  2. Step 2: Convert to fraction form
    916.91/1,375.50 = 300.46/x
  3. Step 3: Cross multiply
    916.91x = 1,375.50 × 300.46
  4. Step 4: Simplify right side
    916.91x = 413,274.35
  5. Step 5: Solve for x
    x = 413,274.35/916.91
  6. Step 6: Final answer
    x = 450.73

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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.