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Finding the Fourth Proportional to 360.09, 497.04 and 227.53

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Solution

The fourth proportional to 360.09, 497.04 and 227.53 is: 314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 497.04 = 227.53 : x
  2. Step 2: Convert to fraction form
    360.09/497.04 = 227.53/x
  3. Step 3: Cross multiply
    360.09x = 497.04 × 227.53
  4. Step 4: Simplify right side
    360.09x = 113,091.51
  5. Step 5: Solve for x
    x = 113,091.51/360.09
  6. Step 6: Final answer
    x = 314.06

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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.