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Finding the Fourth Proportional to 394.65, 544.64 and 228.85

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Solution

The fourth proportional to 394.65, 544.64 and 228.85 is: 315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.65 : 544.64 = 228.85 : x
  2. Step 2: Convert to fraction form
    394.65/544.64 = 228.85/x
  3. Step 3: Cross multiply
    394.65x = 544.64 × 228.85
  4. Step 4: Simplify right side
    394.65x = 124,640.86
  5. Step 5: Solve for x
    x = 124,640.86/394.65
  6. Step 6: Final answer
    x = 315.83

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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.