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Finding the Fourth Proportional to 376.63, 519.82 and 210.92

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Solution

The fourth proportional to 376.63, 519.82 and 210.92 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.63 : 519.82 = 210.92 : x
  2. Step 2: Convert to fraction form
    376.63/519.82 = 210.92/x
  3. Step 3: Cross multiply
    376.63x = 519.82 × 210.92
  4. Step 4: Simplify right side
    376.63x = 109,637.31
  5. Step 5: Solve for x
    x = 109,637.31/376.63
  6. Step 6: Final answer
    x = 291.10

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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.