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Finding the Fourth Proportional to 604.82, 834.59 and 342.81

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Solution

The fourth proportional to 604.82, 834.59 and 342.81 is: 473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.82 : 834.59 = 342.81 : x
  2. Step 2: Convert to fraction form
    604.82/834.59 = 342.81/x
  3. Step 3: Cross multiply
    604.82x = 834.59 × 342.81
  4. Step 4: Simplify right side
    604.82x = 286,104.08
  5. Step 5: Solve for x
    x = 286,104.08/604.82
  6. Step 6: Final answer
    x = 473.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.