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Finding the Fourth Proportional to 376.74, 520.02 and 288.54

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Solution

The fourth proportional to 376.74, 520.02 and 288.54 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.74 : 520.02 = 288.54 : x
  2. Step 2: Convert to fraction form
    376.74/520.02 = 288.54/x
  3. Step 3: Cross multiply
    376.74x = 520.02 × 288.54
  4. Step 4: Simplify right side
    376.74x = 150,046.57
  5. Step 5: Solve for x
    x = 150,046.57/376.74
  6. Step 6: Final answer
    x = 398.28

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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.