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Finding the Fourth Proportional to 493.23, 740.17 and 233.52

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Solution

The fourth proportional to 493.23, 740.17 and 233.52 is: 350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.23 : 740.17 = 233.52 : x
  2. Step 2: Convert to fraction form
    493.23/740.17 = 233.52/x
  3. Step 3: Cross multiply
    493.23x = 740.17 × 233.52
  4. Step 4: Simplify right side
    493.23x = 172,844.50
  5. Step 5: Solve for x
    x = 172,844.50/493.23
  6. Step 6: Final answer
    x = 350.43

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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.