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Finding the Fourth Proportional to 376.05, 519.00 and 210.31

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Solution

The fourth proportional to 376.05, 519.00 and 210.31 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.05 : 519.00 = 210.31 : x
  2. Step 2: Convert to fraction form
    376.05/519.00 = 210.31/x
  3. Step 3: Cross multiply
    376.05x = 519.00 × 210.31
  4. Step 4: Simplify right side
    376.05x = 109,148.80
  5. Step 5: Solve for x
    x = 109,148.80/376.05
  6. Step 6: Final answer
    x = 290.25

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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.