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Finding the Fourth Proportional to 386.15, 532.89 and 228.77

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Solution

The fourth proportional to 386.15, 532.89 and 228.77 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.15 : 532.89 = 228.77 : x
  2. Step 2: Convert to fraction form
    386.15/532.89 = 228.77/x
  3. Step 3: Cross multiply
    386.15x = 532.89 × 228.77
  4. Step 4: Simplify right side
    386.15x = 121,910.58
  5. Step 5: Solve for x
    x = 121,910.58/386.15
  6. Step 6: Final answer
    x = 315.71

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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.