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Finding the Fourth Proportional to 604.97, 834.87 and 343.00

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Solution

The fourth proportional to 604.97, 834.87 and 343.00 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.97 : 834.87 = 343.00 : x
  2. Step 2: Convert to fraction form
    604.97/834.87 = 343.00/x
  3. Step 3: Cross multiply
    604.97x = 834.87 × 343.00
  4. Step 4: Simplify right side
    604.97x = 286,362.74
  5. Step 5: Solve for x
    x = 286,362.74/604.97
  6. Step 6: Final answer
    x = 473.35

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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.