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Finding the Fourth Proportional to 604.21, 833.68 and 355.55

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Solution

The fourth proportional to 604.21, 833.68 and 355.55 is: 490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.21 : 833.68 = 355.55 : x
  2. Step 2: Convert to fraction form
    604.21/833.68 = 355.55/x
  3. Step 3: Cross multiply
    604.21x = 833.68 × 355.55
  4. Step 4: Simplify right side
    604.21x = 296,413.15
  5. Step 5: Solve for x
    x = 296,413.15/604.21
  6. Step 6: Final answer
    x = 490.58

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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.