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Finding the Fourth Proportional to 297.12, 444.12 and 233.04

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Solution

The fourth proportional to 297.12, 444.12 and 233.04 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.12 : 444.12 = 233.04 : x
  2. Step 2: Convert to fraction form
    297.12/444.12 = 233.04/x
  3. Step 3: Cross multiply
    297.12x = 444.12 × 233.04
  4. Step 4: Simplify right side
    297.12x = 103,497.72
  5. Step 5: Solve for x
    x = 103,497.72/297.12
  6. Step 6: Final answer
    x = 348.34

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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.