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Finding the Fourth Proportional to 386.26, 532.96 and 228.82

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Solution

The fourth proportional to 386.26, 532.96 and 228.82 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 532.96 = 228.82 : x
  2. Step 2: Convert to fraction form
    386.26/532.96 = 228.82/x
  3. Step 3: Cross multiply
    386.26x = 532.96 × 228.82
  4. Step 4: Simplify right side
    386.26x = 121,949.02
  5. Step 5: Solve for x
    x = 121,949.02/386.26
  6. Step 6: Final answer
    x = 315.72

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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.