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Finding the Fourth Proportional to 357.77, 493.19 and 233.22

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Solution

The fourth proportional to 357.77, 493.19 and 233.22 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.77 : 493.19 = 233.22 : x
  2. Step 2: Convert to fraction form
    357.77/493.19 = 233.22/x
  3. Step 3: Cross multiply
    357.77x = 493.19 × 233.22
  4. Step 4: Simplify right side
    357.77x = 115,021.77
  5. Step 5: Solve for x
    x = 115,021.77/357.77
  6. Step 6: Final answer
    x = 321.50

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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.