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Finding the Fourth Proportional to 576.17, 794.82 and 365.99

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Solution

The fourth proportional to 576.17, 794.82 and 365.99 is: 504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.17 : 794.82 = 365.99 : x
  2. Step 2: Convert to fraction form
    576.17/794.82 = 365.99/x
  3. Step 3: Cross multiply
    576.17x = 794.82 × 365.99
  4. Step 4: Simplify right side
    576.17x = 290,892.20
  5. Step 5: Solve for x
    x = 290,892.20/576.17
  6. Step 6: Final answer
    x = 504.88

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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.