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Finding the Fourth Proportional to 382.42, 527.72 and 216.64

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Solution

The fourth proportional to 382.42, 527.72 and 216.64 is: 298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 527.72 = 216.64 : x
  2. Step 2: Convert to fraction form
    382.42/527.72 = 216.64/x
  3. Step 3: Cross multiply
    382.42x = 527.72 × 216.64
  4. Step 4: Simplify right side
    382.42x = 114,325.26
  5. Step 5: Solve for x
    x = 114,325.26/382.42
  6. Step 6: Final answer
    x = 298.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.