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Finding the Fourth Proportional to 380.44, 524.92 and 233.02

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Solution

The fourth proportional to 380.44, 524.92 and 233.02 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.44 : 524.92 = 233.02 : x
  2. Step 2: Convert to fraction form
    380.44/524.92 = 233.02/x
  3. Step 3: Cross multiply
    380.44x = 524.92 × 233.02
  4. Step 4: Simplify right side
    380.44x = 122,316.86
  5. Step 5: Solve for x
    x = 122,316.86/380.44
  6. Step 6: Final answer
    x = 321.51

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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.