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Finding the Fourth Proportional to 503.18, 694.31 and 282.14

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Solution

The fourth proportional to 503.18, 694.31 and 282.14 is: 389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 694.31 = 282.14 : x
  2. Step 2: Convert to fraction form
    503.18/694.31 = 282.14/x
  3. Step 3: Cross multiply
    503.18x = 694.31 × 282.14
  4. Step 4: Simplify right side
    503.18x = 195,892.62
  5. Step 5: Solve for x
    x = 195,892.62/503.18
  6. Step 6: Final answer
    x = 389.31

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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.