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Finding the Fourth Proportional to 604.24, 834.09 and 446.89

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Solution

The fourth proportional to 604.24, 834.09 and 446.89 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 834.09 = 446.89 : x
  2. Step 2: Convert to fraction form
    604.24/834.09 = 446.89/x
  3. Step 3: Cross multiply
    604.24x = 834.09 × 446.89
  4. Step 4: Simplify right side
    604.24x = 372,746.48
  5. Step 5: Solve for x
    x = 372,746.48/604.24
  6. Step 6: Final answer
    x = 616.88

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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.