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Finding the Fourth Proportional to 524.94, 786.72 and 216.44

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Solution

The fourth proportional to 524.94, 786.72 and 216.44 is: 324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 786.72 = 216.44 : x
  2. Step 2: Convert to fraction form
    524.94/786.72 = 216.44/x
  3. Step 3: Cross multiply
    524.94x = 786.72 × 216.44
  4. Step 4: Simplify right side
    524.94x = 170,273.74
  5. Step 5: Solve for x
    x = 170,273.74/524.94
  6. Step 6: Final answer
    x = 324.37

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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.