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Finding the Fourth Proportional to 524.62, 786.93 and 182.38

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Solution

The fourth proportional to 524.62, 786.93 and 182.38 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.62 : 786.93 = 182.38 : x
  2. Step 2: Convert to fraction form
    524.62/786.93 = 182.38/x
  3. Step 3: Cross multiply
    524.62x = 786.93 × 182.38
  4. Step 4: Simplify right side
    524.62x = 143,515.45
  5. Step 5: Solve for x
    x = 143,515.45/524.62
  6. Step 6: Final answer
    x = 273.56

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Similar ratio
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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.