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Finding the Fourth Proportional to 395.70, 593.54 and 233.29

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Solution

The fourth proportional to 395.70, 593.54 and 233.29 is: 349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.70 : 593.54 = 233.29 : x
  2. Step 2: Convert to fraction form
    395.70/593.54 = 233.29/x
  3. Step 3: Cross multiply
    395.70x = 593.54 × 233.29
  4. Step 4: Simplify right side
    395.70x = 138,466.95
  5. Step 5: Solve for x
    x = 138,466.95/395.70
  6. Step 6: Final answer
    x = 349.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.