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Finding the Fourth Proportional to 376.92, 520.65 and 298.76

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Solution

The fourth proportional to 376.92, 520.65 and 298.76 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.92 : 520.65 = 298.76 : x
  2. Step 2: Convert to fraction form
    376.92/520.65 = 298.76/x
  3. Step 3: Cross multiply
    376.92x = 520.65 × 298.76
  4. Step 4: Simplify right side
    376.92x = 155,546.79
  5. Step 5: Solve for x
    x = 155,546.79/376.92
  6. Step 6: Final answer
    x = 412.68

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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.