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Finding the Fourth Proportional to 915.38, 1,372.92 and 299.09

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Solution

The fourth proportional to 915.38, 1,372.92 and 299.09 is: 448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.38 : 1,372.92 = 299.09 : x
  2. Step 2: Convert to fraction form
    915.38/1,372.92 = 299.09/x
  3. Step 3: Cross multiply
    915.38x = 1,372.92 × 299.09
  4. Step 4: Simplify right side
    915.38x = 410,619.78
  5. Step 5: Solve for x
    x = 410,619.78/915.38
  6. Step 6: Final answer
    x = 448.58

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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.