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Finding the Fourth Proportional to 507.26, 699.93 and 286.13

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Solution

The fourth proportional to 507.26, 699.93 and 286.13 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.26 : 699.93 = 286.13 : x
  2. Step 2: Convert to fraction form
    507.26/699.93 = 286.13/x
  3. Step 3: Cross multiply
    507.26x = 699.93 × 286.13
  4. Step 4: Simplify right side
    507.26x = 200,272.72
  5. Step 5: Solve for x
    x = 200,272.72/507.26
  6. Step 6: Final answer
    x = 394.81

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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.