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Finding the Fourth Proportional to 344.15, 474.19 and 233.44

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Solution

The fourth proportional to 344.15, 474.19 and 233.44 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.15 : 474.19 = 233.44 : x
  2. Step 2: Convert to fraction form
    344.15/474.19 = 233.44/x
  3. Step 3: Cross multiply
    344.15x = 474.19 × 233.44
  4. Step 4: Simplify right side
    344.15x = 110,693.14
  5. Step 5: Solve for x
    x = 110,693.14/344.15
  6. Step 6: Final answer
    x = 321.64

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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.