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Finding the Fourth Proportional to 604.24, 833.84 and 342.25

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Solution

The fourth proportional to 604.24, 833.84 and 342.25 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 833.84 = 342.25 : x
  2. Step 2: Convert to fraction form
    604.24/833.84 = 342.25/x
  3. Step 3: Cross multiply
    604.24x = 833.84 × 342.25
  4. Step 4: Simplify right side
    604.24x = 285,380.03
  5. Step 5: Solve for x
    x = 285,380.03/604.24
  6. Step 6: Final answer
    x = 472.30

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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.