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Finding the Fourth Proportional to 507.14, 699.86 and 286.09

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Solution

The fourth proportional to 507.14, 699.86 and 286.09 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.14 : 699.86 = 286.09 : x
  2. Step 2: Convert to fraction form
    507.14/699.86 = 286.09/x
  3. Step 3: Cross multiply
    507.14x = 699.86 × 286.09
  4. Step 4: Simplify right side
    507.14x = 200,222.95
  5. Step 5: Solve for x
    x = 200,222.95/507.14
  6. Step 6: Final answer
    x = 394.81

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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.