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Finding the Fourth Proportional to 604.13, 833.69 and 342.23

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Solution

The fourth proportional to 604.13, 833.69 and 342.23 is: 472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.13 : 833.69 = 342.23 : x
  2. Step 2: Convert to fraction form
    604.13/833.69 = 342.23/x
  3. Step 3: Cross multiply
    604.13x = 833.69 × 342.23
  4. Step 4: Simplify right side
    604.13x = 285,310.42
  5. Step 5: Solve for x
    x = 285,310.42/604.13
  6. Step 6: Final answer
    x = 472.27

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