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Finding the Fourth Proportional to 376.35, 518.41 and 314.16

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Solution

The fourth proportional to 376.35, 518.41 and 314.16 is: 432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.35 : 518.41 = 314.16 : x
  2. Step 2: Convert to fraction form
    376.35/518.41 = 314.16/x
  3. Step 3: Cross multiply
    376.35x = 518.41 × 314.16
  4. Step 4: Simplify right side
    376.35x = 162,863.69
  5. Step 5: Solve for x
    x = 162,863.69/376.35
  6. Step 6: Final answer
    x = 432.75

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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.