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Finding the Fourth Proportional to 344.40, 474.53 and 233.68

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Solution

The fourth proportional to 344.40, 474.53 and 233.68 is: 321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 474.53 = 233.68 : x
  2. Step 2: Convert to fraction form
    344.40/474.53 = 233.68/x
  3. Step 3: Cross multiply
    344.40x = 474.53 × 233.68
  4. Step 4: Simplify right side
    344.40x = 110,888.17
  5. Step 5: Solve for x
    x = 110,888.17/344.40
  6. Step 6: Final answer
    x = 321.97

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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.