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Finding the Fourth Proportional to 503.24, 694.49 and 282.23

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Solution

The fourth proportional to 503.24, 694.49 and 282.23 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 694.49 = 282.23 : x
  2. Step 2: Convert to fraction form
    503.24/694.49 = 282.23/x
  3. Step 3: Cross multiply
    503.24x = 694.49 × 282.23
  4. Step 4: Simplify right side
    503.24x = 196,005.91
  5. Step 5: Solve for x
    x = 196,005.91/503.24
  6. Step 6: Final answer
    x = 389.49

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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.