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Finding the Fourth Proportional to 583.09, 804.63 and 334.35

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Solution

The fourth proportional to 583.09, 804.63 and 334.35 is: 461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.09 : 804.63 = 334.35 : x
  2. Step 2: Convert to fraction form
    583.09/804.63 = 334.35/x
  3. Step 3: Cross multiply
    583.09x = 804.63 × 334.35
  4. Step 4: Simplify right side
    583.09x = 269,028.04
  5. Step 5: Solve for x
    x = 269,028.04/583.09
  6. Step 6: Final answer
    x = 461.38

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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.