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Finding the Fourth Proportional to 386.13, 532.74 and 228.76

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Solution

The fourth proportional to 386.13, 532.74 and 228.76 is: 315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.13 : 532.74 = 228.76 : x
  2. Step 2: Convert to fraction form
    386.13/532.74 = 228.76/x
  3. Step 3: Cross multiply
    386.13x = 532.74 × 228.76
  4. Step 4: Simplify right side
    386.13x = 121,869.13
  5. Step 5: Solve for x
    x = 121,869.13/386.13
  6. Step 6: Final answer
    x = 315.61

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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.