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Finding the Fourth Proportional to 376.22, 518.96 and 258.14

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Solution

The fourth proportional to 376.22, 518.96 and 258.14 is: 356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.22 : 518.96 = 258.14 : x
  2. Step 2: Convert to fraction form
    376.22/518.96 = 258.14/x
  3. Step 3: Cross multiply
    376.22x = 518.96 × 258.14
  4. Step 4: Simplify right side
    376.22x = 133,964.33
  5. Step 5: Solve for x
    x = 133,964.33/376.22
  6. Step 6: Final answer
    x = 356.08

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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.