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Finding the Fourth Proportional to 297.25, 409.23 and 258.42

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Solution

The fourth proportional to 297.25, 409.23 and 258.42 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.25 : 409.23 = 258.42 : x
  2. Step 2: Convert to fraction form
    297.25/409.23 = 258.42/x
  3. Step 3: Cross multiply
    297.25x = 409.23 × 258.42
  4. Step 4: Simplify right side
    297.25x = 105,753.22
  5. Step 5: Solve for x
    x = 105,753.22/297.25
  6. Step 6: Final answer
    x = 355.77

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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.