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Finding the Fourth Proportional to 382.52, 527.85 and 216.74

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Solution

The fourth proportional to 382.52, 527.85 and 216.74 is: 299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.52 : 527.85 = 216.74 : x
  2. Step 2: Convert to fraction form
    382.52/527.85 = 216.74/x
  3. Step 3: Cross multiply
    382.52x = 527.85 × 216.74
  4. Step 4: Simplify right side
    382.52x = 114,405.13
  5. Step 5: Solve for x
    x = 114,405.13/382.52
  6. Step 6: Final answer
    x = 299.08

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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.