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Finding the Fourth Proportional to 379.98, 524.04 and 255.78

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Solution

The fourth proportional to 379.98, 524.04 and 255.78 is: 352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.98 : 524.04 = 255.78 : x
  2. Step 2: Convert to fraction form
    379.98/524.04 = 255.78/x
  3. Step 3: Cross multiply
    379.98x = 524.04 × 255.78
  4. Step 4: Simplify right side
    379.98x = 134,038.95
  5. Step 5: Solve for x
    x = 134,038.95/379.98
  6. Step 6: Final answer
    x = 352.75

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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.