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Finding the Fourth Proportional to 379.89, 524.16 and 255.78

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Solution

The fourth proportional to 379.89, 524.16 and 255.78 is: 352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.89 : 524.16 = 255.78 : x
  2. Step 2: Convert to fraction form
    379.89/524.16 = 255.78/x
  3. Step 3: Cross multiply
    379.89x = 524.16 × 255.78
  4. Step 4: Simplify right side
    379.89x = 134,069.64
  5. Step 5: Solve for x
    x = 134,069.64/379.89
  6. Step 6: Final answer
    x = 352.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.