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Finding the Fourth Proportional to 382.02, 527.10 and 216.24

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Solution

The fourth proportional to 382.02, 527.10 and 216.24 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.02 : 527.10 = 216.24 : x
  2. Step 2: Convert to fraction form
    382.02/527.10 = 216.24/x
  3. Step 3: Cross multiply
    382.02x = 527.10 × 216.24
  4. Step 4: Simplify right side
    382.02x = 113,980.10
  5. Step 5: Solve for x
    x = 113,980.10/382.02
  6. Step 6: Final answer
    x = 298.36

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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.