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Finding the Fourth Proportional to 503.46, 694.75 and 282.43

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Solution

The fourth proportional to 503.46, 694.75 and 282.43 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.46 : 694.75 = 282.43 : x
  2. Step 2: Convert to fraction form
    503.46/694.75 = 282.43/x
  3. Step 3: Cross multiply
    503.46x = 694.75 × 282.43
  4. Step 4: Simplify right side
    503.46x = 196,218.24
  5. Step 5: Solve for x
    x = 196,218.24/503.46
  6. Step 6: Final answer
    x = 389.74

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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.