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Finding the Fourth Proportional to 353.40, 487.26 and 274.56

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Solution

The fourth proportional to 353.40, 487.26 and 274.56 is: 378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.40 : 487.26 = 274.56 : x
  2. Step 2: Convert to fraction form
    353.40/487.26 = 274.56/x
  3. Step 3: Cross multiply
    353.40x = 487.26 × 274.56
  4. Step 4: Simplify right side
    353.40x = 133,782.11
  5. Step 5: Solve for x
    x = 133,782.11/353.40
  6. Step 6: Final answer
    x = 378.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.