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Finding the Fourth Proportional to 507.67, 700.73 and 311.38

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Solution

The fourth proportional to 507.67, 700.73 and 311.38 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.67 : 700.73 = 311.38 : x
  2. Step 2: Convert to fraction form
    507.67/700.73 = 311.38/x
  3. Step 3: Cross multiply
    507.67x = 700.73 × 311.38
  4. Step 4: Simplify right side
    507.67x = 218,193.31
  5. Step 5: Solve for x
    x = 218,193.31/507.67
  6. Step 6: Final answer
    x = 429.79

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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.