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Finding the Fourth Proportional to 583.00, 804.46 and 334.33

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Solution

The fourth proportional to 583.00, 804.46 and 334.33 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.00 : 804.46 = 334.33 : x
  2. Step 2: Convert to fraction form
    583.00/804.46 = 334.33/x
  3. Step 3: Cross multiply
    583.00x = 804.46 × 334.33
  4. Step 4: Simplify right side
    583.00x = 268,956.29
  5. Step 5: Solve for x
    x = 268,956.29/583.00
  6. Step 6: Final answer
    x = 461.33

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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.