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Finding the Fourth Proportional to 838.53, 1,257.97 and 253.57

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Solution

The fourth proportional to 838.53, 1,257.97 and 253.57 is: 380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.53 : 1,257.97 = 253.57 : x
  2. Step 2: Convert to fraction form
    838.53/1,257.97 = 253.57/x
  3. Step 3: Cross multiply
    838.53x = 1,257.97 × 253.57
  4. Step 4: Simplify right side
    838.53x = 318,982.19
  5. Step 5: Solve for x
    x = 318,982.19/838.53
  6. Step 6: Final answer
    x = 380.41

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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.