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Finding the Fourth Proportional to 604.02, 835.07 and 446.40

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Solution

The fourth proportional to 604.02, 835.07 and 446.40 is: 617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.02 : 835.07 = 446.40 : x
  2. Step 2: Convert to fraction form
    604.02/835.07 = 446.40/x
  3. Step 3: Cross multiply
    604.02x = 835.07 × 446.40
  4. Step 4: Simplify right side
    604.02x = 372,773.85
  5. Step 5: Solve for x
    x = 372,773.85/604.02
  6. Step 6: Final answer
    x = 617.16

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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.