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Finding the Fourth Proportional to 297.88, 411.50 and 254.68

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Solution

The fourth proportional to 297.88, 411.50 and 254.68 is: 351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.88 : 411.50 = 254.68 : x
  2. Step 2: Convert to fraction form
    297.88/411.50 = 254.68/x
  3. Step 3: Cross multiply
    297.88x = 411.50 × 254.68
  4. Step 4: Simplify right side
    297.88x = 104,800.82
  5. Step 5: Solve for x
    x = 104,800.82/297.88
  6. Step 6: Final answer
    x = 351.82

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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.