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Finding the Fourth Proportional to 507.34, 760.94 and 182.68

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Solution

The fourth proportional to 507.34, 760.94 and 182.68 is: 273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.34 : 760.94 = 182.68 : x
  2. Step 2: Convert to fraction form
    507.34/760.94 = 182.68/x
  3. Step 3: Cross multiply
    507.34x = 760.94 × 182.68
  4. Step 4: Simplify right side
    507.34x = 139,008.52
  5. Step 5: Solve for x
    x = 139,008.52/507.34
  6. Step 6: Final answer
    x = 273.99

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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.