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Finding the Fourth Proportional to 274.17, 380.29 and 264.32

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Solution

The fourth proportional to 274.17, 380.29 and 264.32 is: 366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 380.29 = 264.32 : x
  2. Step 2: Convert to fraction form
    274.17/380.29 = 264.32/x
  3. Step 3: Cross multiply
    274.17x = 380.29 × 264.32
  4. Step 4: Simplify right side
    274.17x = 100,518.25
  5. Step 5: Solve for x
    x = 100,518.25/274.17
  6. Step 6: Final answer
    x = 366.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.