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Finding the Fourth Proportional to 507.74, 761.46 and 142.44

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Solution

The fourth proportional to 507.74, 761.46 and 142.44 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.74 : 761.46 = 142.44 : x
  2. Step 2: Convert to fraction form
    507.74/761.46 = 142.44/x
  3. Step 3: Cross multiply
    507.74x = 761.46 × 142.44
  4. Step 4: Simplify right side
    507.74x = 108,462.36
  5. Step 5: Solve for x
    x = 108,462.36/507.74
  6. Step 6: Final answer
    x = 213.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.