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Finding the Fourth Proportional to 519.12, 781.76 and 375.84

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Solution

The fourth proportional to 519.12, 781.76 and 375.84 is: 565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 781.76 = 375.84 : x
  2. Step 2: Convert to fraction form
    519.12/781.76 = 375.84/x
  3. Step 3: Cross multiply
    519.12x = 781.76 × 375.84
  4. Step 4: Simplify right side
    519.12x = 293,816.68
  5. Step 5: Solve for x
    x = 293,816.68/519.12
  6. Step 6: Final answer
    x = 565.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.