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Finding the Fourth Proportional to 297.24, 408.88 and 257.80

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Solution

The fourth proportional to 297.24, 408.88 and 257.80 is: 354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.24 : 408.88 = 257.80 : x
  2. Step 2: Convert to fraction form
    297.24/408.88 = 257.80/x
  3. Step 3: Cross multiply
    297.24x = 408.88 × 257.80
  4. Step 4: Simplify right side
    297.24x = 105,409.26
  5. Step 5: Solve for x
    x = 105,409.26/297.24
  6. Step 6: Final answer
    x = 354.63

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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.