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Finding the Fourth Proportional to 394.85, 544.83 and 229.07

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Solution

The fourth proportional to 394.85, 544.83 and 229.07 is: 316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.85 : 544.83 = 229.07 : x
  2. Step 2: Convert to fraction form
    394.85/544.83 = 229.07/x
  3. Step 3: Cross multiply
    394.85x = 544.83 × 229.07
  4. Step 4: Simplify right side
    394.85x = 124,804.21
  5. Step 5: Solve for x
    x = 124,804.21/394.85
  6. Step 6: Final answer
    x = 316.08

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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.