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Finding the Fourth Proportional to 372.88, 514.14 and 274.68

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Solution

The fourth proportional to 372.88, 514.14 and 274.68 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.88 : 514.14 = 274.68 : x
  2. Step 2: Convert to fraction form
    372.88/514.14 = 274.68/x
  3. Step 3: Cross multiply
    372.88x = 514.14 × 274.68
  4. Step 4: Simplify right side
    372.88x = 141,223.98
  5. Step 5: Solve for x
    x = 141,223.98/372.88
  6. Step 6: Final answer
    x = 378.74

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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.