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Finding the Fourth Proportional to 507.62, 761.43 and 142.41

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Solution

The fourth proportional to 507.62, 761.43 and 142.41 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.62 : 761.43 = 142.41 : x
  2. Step 2: Convert to fraction form
    507.62/761.43 = 142.41/x
  3. Step 3: Cross multiply
    507.62x = 761.43 × 142.41
  4. Step 4: Simplify right side
    507.62x = 108,437.68
  5. Step 5: Solve for x
    x = 108,437.68/507.62
  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.