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Finding the Fourth Proportional to 438.63, 605.37 and 334.27

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Solution

The fourth proportional to 438.63, 605.37 and 334.27 is: 461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.63 : 605.37 = 334.27 : x
  2. Step 2: Convert to fraction form
    438.63/605.37 = 334.27/x
  3. Step 3: Cross multiply
    438.63x = 605.37 × 334.27
  4. Step 4: Simplify right side
    438.63x = 202,357.03
  5. Step 5: Solve for x
    x = 202,357.03/438.63
  6. Step 6: Final answer
    x = 461.34

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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.