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Finding the Fourth Proportional to 507.11, 699.81 and 286.06

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Solution

The fourth proportional to 507.11, 699.81 and 286.06 is: 394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.11 : 699.81 = 286.06 : x
  2. Step 2: Convert to fraction form
    507.11/699.81 = 286.06/x
  3. Step 3: Cross multiply
    507.11x = 699.81 × 286.06
  4. Step 4: Simplify right side
    507.11x = 200,185.90
  5. Step 5: Solve for x
    x = 200,185.90/507.11
  6. Step 6: Final answer
    x = 394.76

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Why These Related Problems?

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