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Finding the Fourth Proportional to 336.80, 464.88 and 205.76

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Solution

The fourth proportional to 336.80, 464.88 and 205.76 is: 284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 464.88 = 205.76 : x
  2. Step 2: Convert to fraction form
    336.80/464.88 = 205.76/x
  3. Step 3: Cross multiply
    336.80x = 464.88 × 205.76
  4. Step 4: Simplify right side
    336.80x = 95,653.71
  5. Step 5: Solve for x
    x = 95,653.71/336.80
  6. Step 6: Final answer
    x = 284.01

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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.