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Finding the Fourth Proportional to 503.09, 694.27 and 282.05

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Solution

The fourth proportional to 503.09, 694.27 and 282.05 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.09 : 694.27 = 282.05 : x
  2. Step 2: Convert to fraction form
    503.09/694.27 = 282.05/x
  3. Step 3: Cross multiply
    503.09x = 694.27 × 282.05
  4. Step 4: Simplify right side
    503.09x = 195,818.85
  5. Step 5: Solve for x
    x = 195,818.85/503.09
  6. Step 6: Final answer
    x = 389.23

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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.