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Finding the Fourth Proportional to 524.52, 786.62 and 363.24

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Solution

The fourth proportional to 524.52, 786.62 and 363.24 is: 544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 786.62 = 363.24 : x
  2. Step 2: Convert to fraction form
    524.52/786.62 = 363.24/x
  3. Step 3: Cross multiply
    524.52x = 786.62 × 363.24
  4. Step 4: Simplify right side
    524.52x = 285,731.85
  5. Step 5: Solve for x
    x = 285,731.85/524.52
  6. Step 6: Final answer
    x = 544.75

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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.