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Finding the Fourth Proportional to 297.64, 445.38 and 232.84

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Solution

The fourth proportional to 297.64, 445.38 and 232.84 is: 348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 445.38 = 232.84 : x
  2. Step 2: Convert to fraction form
    297.64/445.38 = 232.84/x
  3. Step 3: Cross multiply
    297.64x = 445.38 × 232.84
  4. Step 4: Simplify right side
    297.64x = 103,702.28
  5. Step 5: Solve for x
    x = 103,702.28/297.64
  6. Step 6: Final answer
    x = 348.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.