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Finding the Fourth Proportional to 507.05, 699.74 and 286.03

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Solution

The fourth proportional to 507.05, 699.74 and 286.03 is: 394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.05 : 699.74 = 286.03 : x
  2. Step 2: Convert to fraction form
    507.05/699.74 = 286.03/x
  3. Step 3: Cross multiply
    507.05x = 699.74 × 286.03
  4. Step 4: Simplify right side
    507.05x = 200,146.63
  5. Step 5: Solve for x
    x = 200,146.63/507.05
  6. Step 6: Final answer
    x = 394.73

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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.