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Finding the Fourth Proportional to 524.06, 786.46 and 182.06

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Solution

The fourth proportional to 524.06, 786.46 and 182.06 is: 273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 786.46 = 182.06 : x
  2. Step 2: Convert to fraction form
    524.06/786.46 = 182.06/x
  3. Step 3: Cross multiply
    524.06x = 786.46 × 182.06
  4. Step 4: Simplify right side
    524.06x = 143,183.96
  5. Step 5: Solve for x
    x = 143,183.96/524.06
  6. Step 6: Final answer
    x = 273.22

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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.