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Finding the Fourth Proportional to 382.77, 574.26 and 325.41

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Solution

The fourth proportional to 382.77, 574.26 and 325.41 is: 488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 574.26 = 325.41 : x
  2. Step 2: Convert to fraction form
    382.77/574.26 = 325.41/x
  3. Step 3: Cross multiply
    382.77x = 574.26 × 325.41
  4. Step 4: Simplify right side
    382.77x = 186,869.95
  5. Step 5: Solve for x
    x = 186,869.95/382.77
  6. Step 6: Final answer
    x = 488.20

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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.