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Finding the Fourth Proportional to 503.94, 694.82 and 410.49

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Solution

The fourth proportional to 503.94, 694.82 and 410.49 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.94 : 694.82 = 410.49 : x
  2. Step 2: Convert to fraction form
    503.94/694.82 = 410.49/x
  3. Step 3: Cross multiply
    503.94x = 694.82 × 410.49
  4. Step 4: Simplify right side
    503.94x = 285,216.66
  5. Step 5: Solve for x
    x = 285,216.66/503.94
  6. Step 6: Final answer
    x = 565.97

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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.