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Finding the Fourth Proportional to 507.22, 699.93 and 310.69

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Solution

The fourth proportional to 507.22, 699.93 and 310.69 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.22 : 699.93 = 310.69 : x
  2. Step 2: Convert to fraction form
    507.22/699.93 = 310.69/x
  3. Step 3: Cross multiply
    507.22x = 699.93 × 310.69
  4. Step 4: Simplify right side
    507.22x = 217,461.25
  5. Step 5: Solve for x
    x = 217,461.25/507.22
  6. Step 6: Final answer
    x = 428.73

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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.