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Finding the Fourth Proportional to 382.87, 574.30 and 94.31

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Solution

The fourth proportional to 382.87, 574.30 and 94.31 is: 141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.87 : 574.30 = 94.31 : x
  2. Step 2: Convert to fraction form
    382.87/574.30 = 94.31/x
  3. Step 3: Cross multiply
    382.87x = 574.30 × 94.31
  4. Step 4: Simplify right side
    382.87x = 54,159.60
  5. Step 5: Solve for x
    x = 54,159.60/382.87
  6. Step 6: Final answer
    x = 141.46

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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.