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Finding the Fourth Proportional to 915.70, 1,372.49 and 422.41

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Solution

The fourth proportional to 915.70, 1,372.49 and 422.41 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.70 : 1,372.49 = 422.41 : x
  2. Step 2: Convert to fraction form
    915.70/1,372.49 = 422.41/x
  3. Step 3: Cross multiply
    915.70x = 1,372.49 × 422.41
  4. Step 4: Simplify right side
    915.70x = 579,751.39
  5. Step 5: Solve for x
    x = 579,751.39/915.70
  6. Step 6: Final answer
    x = 633.12

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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.