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Finding the Fourth Proportional to 394.86, 544.89 and 229.06

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Solution

The fourth proportional to 394.86, 544.89 and 229.06 is: 316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.86 : 544.89 = 229.06 : x
  2. Step 2: Convert to fraction form
    394.86/544.89 = 229.06/x
  3. Step 3: Cross multiply
    394.86x = 544.89 × 229.06
  4. Step 4: Simplify right side
    394.86x = 124,812.50
  5. Step 5: Solve for x
    x = 124,812.50/394.86
  6. Step 6: Final answer
    x = 316.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.