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Finding the Fourth Proportional to 350.22, 523.97 and 246.34

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Solution

The fourth proportional to 350.22, 523.97 and 246.34 is: 368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.22 : 523.97 = 246.34 : x
  2. Step 2: Convert to fraction form
    350.22/523.97 = 246.34/x
  3. Step 3: Cross multiply
    350.22x = 523.97 × 246.34
  4. Step 4: Simplify right side
    350.22x = 129,075.12
  5. Step 5: Solve for x
    x = 129,075.12/350.22
  6. Step 6: Final answer
    x = 368.55

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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.