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Finding the Fourth Proportional to 604.82, 834.61 and 342.87

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Solution

The fourth proportional to 604.82, 834.61 and 342.87 is: 473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.82 : 834.61 = 342.87 : x
  2. Step 2: Convert to fraction form
    604.82/834.61 = 342.87/x
  3. Step 3: Cross multiply
    604.82x = 834.61 × 342.87
  4. Step 4: Simplify right side
    604.82x = 286,162.73
  5. Step 5: Solve for x
    x = 286,162.73/604.82
  6. Step 6: Final answer
    x = 473.14

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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.