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Finding the Fourth Proportional to 376.53, 519.63 and 229.14

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Solution

The fourth proportional to 376.53, 519.63 and 229.14 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.53 : 519.63 = 229.14 : x
  2. Step 2: Convert to fraction form
    376.53/519.63 = 229.14/x
  3. Step 3: Cross multiply
    376.53x = 519.63 × 229.14
  4. Step 4: Simplify right side
    376.53x = 119,068.02
  5. Step 5: Solve for x
    x = 119,068.02/376.53
  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.