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Finding the Fourth Proportional to 297.35, 442.52 and 296.44

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Solution

The fourth proportional to 297.35, 442.52 and 296.44 is: 441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.35 : 442.52 = 296.44 : x
  2. Step 2: Convert to fraction form
    297.35/442.52 = 296.44/x
  3. Step 3: Cross multiply
    297.35x = 442.52 × 296.44
  4. Step 4: Simplify right side
    297.35x = 131,180.26
  5. Step 5: Solve for x
    x = 131,180.26/297.35
  6. Step 6: Final answer
    x = 441.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.