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Finding the Fourth Proportional to 507.82, 700.43 and 311.42

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Solution

The fourth proportional to 507.82, 700.43 and 311.42 is: 429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 700.43 = 311.42 : x
  2. Step 2: Convert to fraction form
    507.82/700.43 = 311.42/x
  3. Step 3: Cross multiply
    507.82x = 700.43 × 311.42
  4. Step 4: Simplify right side
    507.82x = 218,127.91
  5. Step 5: Solve for x
    x = 218,127.91/507.82
  6. Step 6: Final answer
    x = 429.54

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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.