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Finding the Fourth Proportional to 507.31, 760.51 and 182.61

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Solution

The fourth proportional to 507.31, 760.51 and 182.61 is: 273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.31 : 760.51 = 182.61 : x
  2. Step 2: Convert to fraction form
    507.31/760.51 = 182.61/x
  3. Step 3: Cross multiply
    507.31x = 760.51 × 182.61
  4. Step 4: Simplify right side
    507.31x = 138,876.73
  5. Step 5: Solve for x
    x = 138,876.73/507.31
  6. Step 6: Final answer
    x = 273.75

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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.