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Finding the Fourth Proportional to 507.42, 760.77 and 182.70

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Solution

The fourth proportional to 507.42, 760.77 and 182.70 is: 273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 760.77 = 182.70 : x
  2. Step 2: Convert to fraction form
    507.42/760.77 = 182.70/x
  3. Step 3: Cross multiply
    507.42x = 760.77 × 182.70
  4. Step 4: Simplify right side
    507.42x = 138,992.68
  5. Step 5: Solve for x
    x = 138,992.68/507.42
  6. Step 6: Final answer
    x = 273.92

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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.