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Finding the Fourth Proportional to 344.84, 475.74 and 234.59

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Solution

The fourth proportional to 344.84, 475.74 and 234.59 is: 323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.84 : 475.74 = 234.59 : x
  2. Step 2: Convert to fraction form
    344.84/475.74 = 234.59/x
  3. Step 3: Cross multiply
    344.84x = 475.74 × 234.59
  4. Step 4: Simplify right side
    344.84x = 111,601.47
  5. Step 5: Solve for x
    x = 111,601.47/344.84
  6. Step 6: Final answer
    x = 323.64

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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.