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Finding the Fourth Proportional to 583.26, 804.83 and 334.57

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Solution

The fourth proportional to 583.26, 804.83 and 334.57 is: 461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.26 : 804.83 = 334.57 : x
  2. Step 2: Convert to fraction form
    583.26/804.83 = 334.57/x
  3. Step 3: Cross multiply
    583.26x = 804.83 × 334.57
  4. Step 4: Simplify right side
    583.26x = 269,273.28
  5. Step 5: Solve for x
    x = 269,273.28/583.26
  6. Step 6: Final answer
    x = 461.67

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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.