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Finding the Fourth Proportional to 838.54, 1,257.48 and 253.36

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Solution

The fourth proportional to 838.54, 1,257.48 and 253.36 is: 379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.54 : 1,257.48 = 253.36 : x
  2. Step 2: Convert to fraction form
    838.54/1,257.48 = 253.36/x
  3. Step 3: Cross multiply
    838.54x = 1,257.48 × 253.36
  4. Step 4: Simplify right side
    838.54x = 318,595.13
  5. Step 5: Solve for x
    x = 318,595.13/838.54
  6. Step 6: Final answer
    x = 379.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.