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Finding the Fourth Proportional to 376.67, 519.35 and 258.41

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Solution

The fourth proportional to 376.67, 519.35 and 258.41 is: 356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.67 : 519.35 = 258.41 : x
  2. Step 2: Convert to fraction form
    376.67/519.35 = 258.41/x
  3. Step 3: Cross multiply
    376.67x = 519.35 × 258.41
  4. Step 4: Simplify right side
    376.67x = 134,205.24
  5. Step 5: Solve for x
    x = 134,205.24/376.67
  6. Step 6: Final answer
    x = 356.29

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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.