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Finding the Fourth Proportional to 824.13, 1,235.27 and 336.92

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Solution

The fourth proportional to 824.13, 1,235.27 and 336.92 is: 504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.13 : 1,235.27 = 336.92 : x
  2. Step 2: Convert to fraction form
    824.13/1,235.27 = 336.92/x
  3. Step 3: Cross multiply
    824.13x = 1,235.27 × 336.92
  4. Step 4: Simplify right side
    824.13x = 416,179.31
  5. Step 5: Solve for x
    x = 416,179.31/824.13
  6. Step 6: Final answer
    x = 504.99

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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.