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Finding the Fourth Proportional to 337.17, 464.90 and 274.87

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Solution

The fourth proportional to 337.17, 464.90 and 274.87 is: 379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.17 : 464.90 = 274.87 : x
  2. Step 2: Convert to fraction form
    337.17/464.90 = 274.87/x
  3. Step 3: Cross multiply
    337.17x = 464.90 × 274.87
  4. Step 4: Simplify right side
    337.17x = 127,787.06
  5. Step 5: Solve for x
    x = 127,787.06/337.17
  6. Step 6: Final answer
    x = 379.00

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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.