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Finding the Fourth Proportional to 382.90, 527.94 and 251.68

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Solution

The fourth proportional to 382.90, 527.94 and 251.68 is: 347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.90 : 527.94 = 251.68 : x
  2. Step 2: Convert to fraction form
    382.90/527.94 = 251.68/x
  3. Step 3: Cross multiply
    382.90x = 527.94 × 251.68
  4. Step 4: Simplify right side
    382.90x = 132,871.94
  5. Step 5: Solve for x
    x = 132,871.94/382.90
  6. Step 6: Final answer
    x = 347.01

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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.