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Finding the Fourth Proportional to 382.76, 574.34 and 292.04

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Solution

The fourth proportional to 382.76, 574.34 and 292.04 is: 438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.76 : 574.34 = 292.04 : x
  2. Step 2: Convert to fraction form
    382.76/574.34 = 292.04/x
  3. Step 3: Cross multiply
    382.76x = 574.34 × 292.04
  4. Step 4: Simplify right side
    382.76x = 167,729.72
  5. Step 5: Solve for x
    x = 167,729.72/382.76
  6. Step 6: Final answer
    x = 438.21

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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.