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Finding the Fourth Proportional to 503.31, 694.54 and 282.25

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Solution

The fourth proportional to 503.31, 694.54 and 282.25 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.31 : 694.54 = 282.25 : x
  2. Step 2: Convert to fraction form
    503.31/694.54 = 282.25/x
  3. Step 3: Cross multiply
    503.31x = 694.54 × 282.25
  4. Step 4: Simplify right side
    503.31x = 196,033.92
  5. Step 5: Solve for x
    x = 196,033.92/503.31
  6. Step 6: Final answer
    x = 389.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.