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Finding the Fourth Proportional to 507.26, 760.97 and 182.86

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Solution

The fourth proportional to 507.26, 760.97 and 182.86 is: 274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.26 : 760.97 = 182.86 : x
  2. Step 2: Convert to fraction form
    507.26/760.97 = 182.86/x
  3. Step 3: Cross multiply
    507.26x = 760.97 × 182.86
  4. Step 4: Simplify right side
    507.26x = 139,150.97
  5. Step 5: Solve for x
    x = 139,150.97/507.26
  6. Step 6: Final answer
    x = 274.32

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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.