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Finding the Fourth Proportional to 604.08, 833.62 and 342.08

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Solution

The fourth proportional to 604.08, 833.62 and 342.08 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.08 : 833.62 = 342.08 : x
  2. Step 2: Convert to fraction form
    604.08/833.62 = 342.08/x
  3. Step 3: Cross multiply
    604.08x = 833.62 × 342.08
  4. Step 4: Simplify right side
    604.08x = 285,164.73
  5. Step 5: Solve for x
    x = 285,164.73/604.08
  6. Step 6: Final answer
    x = 472.06

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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.