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Finding the Fourth Proportional to 379.95, 524.61 and 232.78

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Solution

The fourth proportional to 379.95, 524.61 and 232.78 is: 321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.95 : 524.61 = 232.78 : x
  2. Step 2: Convert to fraction form
    379.95/524.61 = 232.78/x
  3. Step 3: Cross multiply
    379.95x = 524.61 × 232.78
  4. Step 4: Simplify right side
    379.95x = 122,117.55
  5. Step 5: Solve for x
    x = 122,117.55/379.95
  6. Step 6: Final answer
    x = 321.41

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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.