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Finding the Fourth Proportional to 336.96, 464.58 and 274.73

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Solution

The fourth proportional to 336.96, 464.58 and 274.73 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.96 : 464.58 = 274.73 : x
  2. Step 2: Convert to fraction form
    336.96/464.58 = 274.73/x
  3. Step 3: Cross multiply
    336.96x = 464.58 × 274.73
  4. Step 4: Simplify right side
    336.96x = 127,631.74
  5. Step 5: Solve for x
    x = 127,631.74/336.96
  6. Step 6: Final answer
    x = 378.77

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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.