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Finding the Fourth Proportional to 382.96, 574.70 and 262

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Solution

The fourth proportional to 382.96, 574.70 and 262 is: 393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.96 : 574.70 = 262 : x
  2. Step 2: Convert to fraction form
    382.96/574.70 = 262/x
  3. Step 3: Cross multiply
    382.96x = 574.70 × 262
  4. Step 4: Simplify right side
    382.96x = 150,571.40
  5. Step 5: Solve for x
    x = 150,571.40/382.96
  6. Step 6: Final answer
    x = 393.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.