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Finding the Fourth Proportional to 349.35, 523.87 and 208.70

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Solution

The fourth proportional to 349.35, 523.87 and 208.70 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 523.87 = 208.70 : x
  2. Step 2: Convert to fraction form
    349.35/523.87 = 208.70/x
  3. Step 3: Cross multiply
    349.35x = 523.87 × 208.70
  4. Step 4: Simplify right side
    349.35x = 109,332.09
  5. Step 5: Solve for x
    x = 109,332.09/349.35
  6. Step 6: Final answer
    x = 312.96

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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.