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Finding the Fourth Proportional to 524.97, 786.83 and 216.74

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Solution

The fourth proportional to 524.97, 786.83 and 216.74 is: 324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.97 : 786.83 = 216.74 : x
  2. Step 2: Convert to fraction form
    524.97/786.83 = 216.74/x
  3. Step 3: Cross multiply
    524.97x = 786.83 × 216.74
  4. Step 4: Simplify right side
    524.97x = 170,532.52
  5. Step 5: Solve for x
    x = 170,532.52/524.97
  6. Step 6: Final answer
    x = 324.84

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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.