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Finding the Fourth Proportional to 507.14, 699.91 and 286.14

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Solution

The fourth proportional to 507.14, 699.91 and 286.14 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.14 : 699.91 = 286.14 : x
  2. Step 2: Convert to fraction form
    507.14/699.91 = 286.14/x
  3. Step 3: Cross multiply
    507.14x = 699.91 × 286.14
  4. Step 4: Simplify right side
    507.14x = 200,272.96
  5. Step 5: Solve for x
    x = 200,272.96/507.14
  6. Step 6: Final answer
    x = 394.91

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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.