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Finding the Fourth Proportional to 604.58, 834.30 and 342.59

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Solution

The fourth proportional to 604.58, 834.30 and 342.59 is: 472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.58 : 834.30 = 342.59 : x
  2. Step 2: Convert to fraction form
    604.58/834.30 = 342.59/x
  3. Step 3: Cross multiply
    604.58x = 834.30 × 342.59
  4. Step 4: Simplify right side
    604.58x = 285,818.67
  5. Step 5: Solve for x
    x = 285,818.67/604.58
  6. Step 6: Final answer
    x = 472.76

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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.