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Finding the Fourth Proportional to 507.62, 764.89 and 418.31

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Solution

The fourth proportional to 507.62, 764.89 and 418.31 is: 630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.62 : 764.89 = 418.31 : x
  2. Step 2: Convert to fraction form
    507.62/764.89 = 418.31/x
  3. Step 3: Cross multiply
    507.62x = 764.89 × 418.31
  4. Step 4: Simplify right side
    507.62x = 319,959.04
  5. Step 5: Solve for x
    x = 319,959.04/507.62
  6. Step 6: Final answer
    x = 630.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.