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Finding the Fourth Proportional to 385.86, 532.47 and 226.37

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Solution

The fourth proportional to 385.86, 532.47 and 226.37 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 532.47 = 226.37 : x
  2. Step 2: Convert to fraction form
    385.86/532.47 = 226.37/x
  3. Step 3: Cross multiply
    385.86x = 532.47 × 226.37
  4. Step 4: Simplify right side
    385.86x = 120,535.23
  5. Step 5: Solve for x
    x = 120,535.23/385.86
  6. Step 6: Final answer
    x = 312.38

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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.