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Finding the Fourth Proportional to 336.20, 503.78 and 233.12

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Solution

The fourth proportional to 336.20, 503.78 and 233.12 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.20 : 503.78 = 233.12 : x
  2. Step 2: Convert to fraction form
    336.20/503.78 = 233.12/x
  3. Step 3: Cross multiply
    336.20x = 503.78 × 233.12
  4. Step 4: Simplify right side
    336.20x = 117,441.19
  5. Step 5: Solve for x
    x = 117,441.19/336.20
  6. Step 6: Final answer
    x = 349.32

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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.