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Finding the Fourth Proportional to 336.57, 503.71 and 213.11

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Solution

The fourth proportional to 336.57, 503.71 and 213.11 is: 318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.57 : 503.71 = 213.11 : x
  2. Step 2: Convert to fraction form
    336.57/503.71 = 213.11/x
  3. Step 3: Cross multiply
    336.57x = 503.71 × 213.11
  4. Step 4: Simplify right side
    336.57x = 107,346.36
  5. Step 5: Solve for x
    x = 107,346.36/336.57
  6. Step 6: Final answer
    x = 318.94

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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.