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Finding the Fourth Proportional to 524.76, 786.84 and 182.52

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Solution

The fourth proportional to 524.76, 786.84 and 182.52 is: 273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 786.84 = 182.52 : x
  2. Step 2: Convert to fraction form
    524.76/786.84 = 182.52/x
  3. Step 3: Cross multiply
    524.76x = 786.84 × 182.52
  4. Step 4: Simplify right side
    524.76x = 143,614.04
  5. Step 5: Solve for x
    x = 143,614.04/524.76
  6. Step 6: Final answer
    x = 273.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.