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Finding the Fourth Proportional to 376.95, 520.29 and 229.68

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Solution

The fourth proportional to 376.95, 520.29 and 229.68 is: 317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.95 : 520.29 = 229.68 : x
  2. Step 2: Convert to fraction form
    376.95/520.29 = 229.68/x
  3. Step 3: Cross multiply
    376.95x = 520.29 × 229.68
  4. Step 4: Simplify right side
    376.95x = 119,500.21
  5. Step 5: Solve for x
    x = 119,500.21/376.95
  6. Step 6: Final answer
    x = 317.02

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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.