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Finding the Fourth Proportional to 297.31, 410.04 and 227.24

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Solution

The fourth proportional to 297.31, 410.04 and 227.24 is: 313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.31 : 410.04 = 227.24 : x
  2. Step 2: Convert to fraction form
    297.31/410.04 = 227.24/x
  3. Step 3: Cross multiply
    297.31x = 410.04 × 227.24
  4. Step 4: Simplify right side
    297.31x = 93,179.51
  5. Step 5: Solve for x
    x = 93,179.51/297.31
  6. Step 6: Final answer
    x = 313.40

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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.