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Finding the Fourth Proportional to 376.19, 518.86 and 283.25

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Solution

The fourth proportional to 376.19, 518.86 and 283.25 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.19 : 518.86 = 283.25 : x
  2. Step 2: Convert to fraction form
    376.19/518.86 = 283.25/x
  3. Step 3: Cross multiply
    376.19x = 518.86 × 283.25
  4. Step 4: Simplify right side
    376.19x = 146,964.23
  5. Step 5: Solve for x
    x = 146,964.23/376.19
  6. Step 6: Final answer
    x = 390.66

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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.