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Finding the Fourth Proportional to 503.50, 694.85 and 282.46

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Solution

The fourth proportional to 503.50, 694.85 and 282.46 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 694.85 = 282.46 : x
  2. Step 2: Convert to fraction form
    503.50/694.85 = 282.46/x
  3. Step 3: Cross multiply
    503.50x = 694.85 × 282.46
  4. Step 4: Simplify right side
    503.50x = 196,262.44
  5. Step 5: Solve for x
    x = 196,262.44/503.50
  6. Step 6: Final answer
    x = 389.80

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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.