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Finding the Fourth Proportional to 379.83, 524.18 and 232.55

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Solution

The fourth proportional to 379.83, 524.18 and 232.55 is: 320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.83 : 524.18 = 232.55 : x
  2. Step 2: Convert to fraction form
    379.83/524.18 = 232.55/x
  3. Step 3: Cross multiply
    379.83x = 524.18 × 232.55
  4. Step 4: Simplify right side
    379.83x = 121,894.28
  5. Step 5: Solve for x
    x = 121,894.28/379.83
  6. Step 6: Final answer
    x = 320.92

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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.