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Finding the Fourth Proportional to 334.56, 502 and 274.38

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Solution

The fourth proportional to 334.56, 502 and 274.38 is: 411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.56 : 502 = 274.38 : x
  2. Step 2: Convert to fraction form
    334.56/502 = 274.38/x
  3. Step 3: Cross multiply
    334.56x = 502 × 274.38
  4. Step 4: Simplify right side
    334.56x = 137,738.76
  5. Step 5: Solve for x
    x = 137,738.76/334.56
  6. Step 6: Final answer
    x = 411.70

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Why These Related Problems?

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