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Finding the Fourth Proportional to 503.23, 694.50 and 282.25

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Solution

The fourth proportional to 503.23, 694.50 and 282.25 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.23 : 694.50 = 282.25 : x
  2. Step 2: Convert to fraction form
    503.23/694.50 = 282.25/x
  3. Step 3: Cross multiply
    503.23x = 694.50 × 282.25
  4. Step 4: Simplify right side
    503.23x = 196,022.63
  5. Step 5: Solve for x
    x = 196,022.63/503.23
  6. Step 6: Final answer
    x = 389.53

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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.