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Finding the Fourth Proportional to 382.40, 572.24 and 252.32

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Solution

The fourth proportional to 382.40, 572.24 and 252.32 is: 377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.40 : 572.24 = 252.32 : x
  2. Step 2: Convert to fraction form
    382.40/572.24 = 252.32/x
  3. Step 3: Cross multiply
    382.40x = 572.24 × 252.32
  4. Step 4: Simplify right side
    382.40x = 144,387.60
  5. Step 5: Solve for x
    x = 144,387.60/382.40
  6. Step 6: Final answer
    x = 377.58

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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.