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Finding the Fourth Proportional to 438.34, 605.29 and 327.62

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Solution

The fourth proportional to 438.34, 605.29 and 327.62 is: 452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.34 : 605.29 = 327.62 : x
  2. Step 2: Convert to fraction form
    438.34/605.29 = 327.62/x
  3. Step 3: Cross multiply
    438.34x = 605.29 × 327.62
  4. Step 4: Simplify right side
    438.34x = 198,305.11
  5. Step 5: Solve for x
    x = 198,305.11/438.34
  6. Step 6: Final answer
    x = 452.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.