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Finding the Fourth Proportional to 336.28, 504.66 and 208.12

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Solution

The fourth proportional to 336.28, 504.66 and 208.12 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.28 : 504.66 = 208.12 : x
  2. Step 2: Convert to fraction form
    336.28/504.66 = 208.12/x
  3. Step 3: Cross multiply
    336.28x = 504.66 × 208.12
  4. Step 4: Simplify right side
    336.28x = 105,029.84
  5. Step 5: Solve for x
    x = 105,029.84/336.28
  6. Step 6: Final answer
    x = 312.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.