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Finding the Fourth Proportional to 583.24, 804.90 and 334.60

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Solution

The fourth proportional to 583.24, 804.90 and 334.60 is: 461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.24 : 804.90 = 334.60 : x
  2. Step 2: Convert to fraction form
    583.24/804.90 = 334.60/x
  3. Step 3: Cross multiply
    583.24x = 804.90 × 334.60
  4. Step 4: Simplify right side
    583.24x = 269,319.54
  5. Step 5: Solve for x
    x = 269,319.54/583.24
  6. Step 6: Final answer
    x = 461.76

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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.