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Finding the Fourth Proportional to 344.42, 475.43 and 233.94

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Solution

The fourth proportional to 344.42, 475.43 and 233.94 is: 322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.42 : 475.43 = 233.94 : x
  2. Step 2: Convert to fraction form
    344.42/475.43 = 233.94/x
  3. Step 3: Cross multiply
    344.42x = 475.43 × 233.94
  4. Step 4: Simplify right side
    344.42x = 111,220.92
  5. Step 5: Solve for x
    x = 111,220.92/344.42
  6. Step 6: Final answer
    x = 322.93

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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.