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Finding the Fourth Proportional to 604.71, 834.57 and 408.69

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Solution

The fourth proportional to 604.71, 834.57 and 408.69 is: 564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.71 : 834.57 = 408.69 : x
  2. Step 2: Convert to fraction form
    604.71/834.57 = 408.69/x
  3. Step 3: Cross multiply
    604.71x = 834.57 × 408.69
  4. Step 4: Simplify right side
    604.71x = 341,080.41
  5. Step 5: Solve for x
    x = 341,080.41/604.71
  6. Step 6: Final answer
    x = 564.04

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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.