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Finding the Fourth Proportional to 360.71, 497.96 and 254.52

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Solution

The fourth proportional to 360.71, 497.96 and 254.52 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.71 : 497.96 = 254.52 : x
  2. Step 2: Convert to fraction form
    360.71/497.96 = 254.52/x
  3. Step 3: Cross multiply
    360.71x = 497.96 × 254.52
  4. Step 4: Simplify right side
    360.71x = 126,739.51
  5. Step 5: Solve for x
    x = 126,739.51/360.71
  6. Step 6: Final answer
    x = 351.37

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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.