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Finding the Fourth Proportional to 387.37, 534.57 and 227.81

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Solution

The fourth proportional to 387.37, 534.57 and 227.81 is: 314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.37 : 534.57 = 227.81 : x
  2. Step 2: Convert to fraction form
    387.37/534.57 = 227.81/x
  3. Step 3: Cross multiply
    387.37x = 534.57 × 227.81
  4. Step 4: Simplify right side
    387.37x = 121,780.86
  5. Step 5: Solve for x
    x = 121,780.86/387.37
  6. Step 6: Final answer
    x = 314.38

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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.