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Finding the Fourth Proportional to 376.35, 519.45 and 229.10

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Solution

The fourth proportional to 376.35, 519.45 and 229.10 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.35 : 519.45 = 229.10 : x
  2. Step 2: Convert to fraction form
    376.35/519.45 = 229.10/x
  3. Step 3: Cross multiply
    376.35x = 519.45 × 229.10
  4. Step 4: Simplify right side
    376.35x = 119,007.89
  5. Step 5: Solve for x
    x = 119,007.89/376.35
  6. Step 6: Final answer
    x = 316.22

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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.