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Finding the Fourth Proportional to 503.20, 694.42 and 279.14

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Solution

The fourth proportional to 503.20, 694.42 and 279.14 is: 385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 694.42 = 279.14 : x
  2. Step 2: Convert to fraction form
    503.20/694.42 = 279.14/x
  3. Step 3: Cross multiply
    503.20x = 694.42 × 279.14
  4. Step 4: Simplify right side
    503.20x = 193,835.71
  5. Step 5: Solve for x
    x = 193,835.71/503.20
  6. Step 6: Final answer
    x = 385.21

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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.