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Finding the Fourth Proportional to 344.05, 474.66 and 233.35

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Solution

The fourth proportional to 344.05, 474.66 and 233.35 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.05 : 474.66 = 233.35 : x
  2. Step 2: Convert to fraction form
    344.05/474.66 = 233.35/x
  3. Step 3: Cross multiply
    344.05x = 474.66 × 233.35
  4. Step 4: Simplify right side
    344.05x = 110,760.72
  5. Step 5: Solve for x
    x = 110,760.72/344.05
  6. Step 6: Final answer
    x = 321.93

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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.