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Finding the Fourth Proportional to 336.78, 464.70 and 205.86

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Solution

The fourth proportional to 336.78, 464.70 and 205.86 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.78 : 464.70 = 205.86 : x
  2. Step 2: Convert to fraction form
    336.78/464.70 = 205.86/x
  3. Step 3: Cross multiply
    336.78x = 464.70 × 205.86
  4. Step 4: Simplify right side
    336.78x = 95,663.14
  5. Step 5: Solve for x
    x = 95,663.14/336.78
  6. Step 6: Final answer
    x = 284.05

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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.