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Finding the Fourth Proportional to 376.42, 519.46 and 210.63

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Solution

The fourth proportional to 376.42, 519.46 and 210.63 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.42 : 519.46 = 210.63 : x
  2. Step 2: Convert to fraction form
    376.42/519.46 = 210.63/x
  3. Step 3: Cross multiply
    376.42x = 519.46 × 210.63
  4. Step 4: Simplify right side
    376.42x = 109,416.07
  5. Step 5: Solve for x
    x = 109,416.07/376.42
  6. Step 6: Final answer
    x = 290.68

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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.