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Finding the Fourth Proportional to 382.62, 527.98 and 225.26

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Solution

The fourth proportional to 382.62, 527.98 and 225.26 is: 310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.62 : 527.98 = 225.26 : x
  2. Step 2: Convert to fraction form
    382.62/527.98 = 225.26/x
  3. Step 3: Cross multiply
    382.62x = 527.98 × 225.26
  4. Step 4: Simplify right side
    382.62x = 118,932.77
  5. Step 5: Solve for x
    x = 118,932.77/382.62
  6. Step 6: Final answer
    x = 310.84

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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.