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Finding the Fourth Proportional to 604.34, 834.07 and 439.10

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Solution

The fourth proportional to 604.34, 834.07 and 439.10 is: 606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.34 : 834.07 = 439.10 : x
  2. Step 2: Convert to fraction form
    604.34/834.07 = 439.10/x
  3. Step 3: Cross multiply
    604.34x = 834.07 × 439.10
  4. Step 4: Simplify right side
    604.34x = 366,240.14
  5. Step 5: Solve for x
    x = 366,240.14/604.34
  6. Step 6: Final answer
    x = 606.02

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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.