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Finding the Fourth Proportional to 386.16, 532.83 and 228.75

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Solution

The fourth proportional to 386.16, 532.83 and 228.75 is: 315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.16 : 532.83 = 228.75 : x
  2. Step 2: Convert to fraction form
    386.16/532.83 = 228.75/x
  3. Step 3: Cross multiply
    386.16x = 532.83 × 228.75
  4. Step 4: Simplify right side
    386.16x = 121,884.86
  5. Step 5: Solve for x
    x = 121,884.86/386.16
  6. Step 6: Final answer
    x = 315.63

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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.