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Finding the Fourth Proportional to 604.76, 834.92 and 415.98

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Solution

The fourth proportional to 604.76, 834.92 and 415.98 is: 574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 834.92 = 415.98 : x
  2. Step 2: Convert to fraction form
    604.76/834.92 = 415.98/x
  3. Step 3: Cross multiply
    604.76x = 834.92 × 415.98
  4. Step 4: Simplify right side
    604.76x = 347,310.02
  5. Step 5: Solve for x
    x = 347,310.02/604.76
  6. Step 6: Final answer
    x = 574.29

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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.