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Finding the Fourth Proportional to 360.39, 497.55 and 227.64

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Solution

The fourth proportional to 360.39, 497.55 and 227.64 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.39 : 497.55 = 227.64 : x
  2. Step 2: Convert to fraction form
    360.39/497.55 = 227.64/x
  3. Step 3: Cross multiply
    360.39x = 497.55 × 227.64
  4. Step 4: Simplify right side
    360.39x = 113,262.28
  5. Step 5: Solve for x
    x = 113,262.28/360.39
  6. Step 6: Final answer
    x = 314.28

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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.