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Finding the Fourth Proportional to 376.12, 518.78 and 288.64

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Solution

The fourth proportional to 376.12, 518.78 and 288.64 is: 398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.12 : 518.78 = 288.64 : x
  2. Step 2: Convert to fraction form
    376.12/518.78 = 288.64/x
  3. Step 3: Cross multiply
    376.12x = 518.78 × 288.64
  4. Step 4: Simplify right side
    376.12x = 149,740.66
  5. Step 5: Solve for x
    x = 149,740.66/376.12
  6. Step 6: Final answer
    x = 398.12

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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.