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Finding the Fourth Proportional to 507.82, 699.99 and 310.96

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Solution

The fourth proportional to 507.82, 699.99 and 310.96 is: 428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 699.99 = 310.96 : x
  2. Step 2: Convert to fraction form
    507.82/699.99 = 310.96/x
  3. Step 3: Cross multiply
    507.82x = 699.99 × 310.96
  4. Step 4: Simplify right side
    507.82x = 217,668.89
  5. Step 5: Solve for x
    x = 217,668.89/507.82
  6. Step 6: Final answer
    x = 428.63

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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.