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Finding the Fourth Proportional to 376.29, 520.16 and 288.81

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Solution

The fourth proportional to 376.29, 520.16 and 288.81 is: 399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.29 : 520.16 = 288.81 : x
  2. Step 2: Convert to fraction form
    376.29/520.16 = 288.81/x
  3. Step 3: Cross multiply
    376.29x = 520.16 × 288.81
  4. Step 4: Simplify right side
    376.29x = 150,225.97
  5. Step 5: Solve for x
    x = 150,225.97/376.29
  6. Step 6: Final answer
    x = 399.23

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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.