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Finding the Fourth Proportional to 382.34, 574.01 and 245.94

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Solution

The fourth proportional to 382.34, 574.01 and 245.94 is: 369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.34 : 574.01 = 245.94 : x
  2. Step 2: Convert to fraction form
    382.34/574.01 = 245.94/x
  3. Step 3: Cross multiply
    382.34x = 574.01 × 245.94
  4. Step 4: Simplify right side
    382.34x = 141,172.02
  5. Step 5: Solve for x
    x = 141,172.02/382.34
  6. Step 6: Final answer
    x = 369.23

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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.