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Finding the Fourth Proportional to 336.56, 464.43 and 257.73

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Solution

The fourth proportional to 336.56, 464.43 and 257.73 is: 355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.56 : 464.43 = 257.73 : x
  2. Step 2: Convert to fraction form
    336.56/464.43 = 257.73/x
  3. Step 3: Cross multiply
    336.56x = 464.43 × 257.73
  4. Step 4: Simplify right side
    336.56x = 119,699.38
  5. Step 5: Solve for x
    x = 119,699.38/336.56
  6. Step 6: Final answer
    x = 355.66

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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.