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Finding the Fourth Proportional to 524.22, 786.16 and 216.02

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Solution

The fourth proportional to 524.22, 786.16 and 216.02 is: 323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 786.16 = 216.02 : x
  2. Step 2: Convert to fraction form
    524.22/786.16 = 216.02/x
  3. Step 3: Cross multiply
    524.22x = 786.16 × 216.02
  4. Step 4: Simplify right side
    524.22x = 169,822.88
  5. Step 5: Solve for x
    x = 169,822.88/524.22
  6. Step 6: Final answer
    x = 323.95

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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.