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Finding the Fourth Proportional to 503.31, 694.51 and 282.23

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Solution

The fourth proportional to 503.31, 694.51 and 282.23 is: 389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.31 : 694.51 = 282.23 : x
  2. Step 2: Convert to fraction form
    503.31/694.51 = 282.23/x
  3. Step 3: Cross multiply
    503.31x = 694.51 × 282.23
  4. Step 4: Simplify right side
    503.31x = 196,011.56
  5. Step 5: Solve for x
    x = 196,011.56/503.31
  6. Step 6: Final answer
    x = 389.44

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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.