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Finding the Fourth Proportional to 583.12, 804.82 and 334.61

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Solution

The fourth proportional to 583.12, 804.82 and 334.61 is: 461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.12 : 804.82 = 334.61 : x
  2. Step 2: Convert to fraction form
    583.12/804.82 = 334.61/x
  3. Step 3: Cross multiply
    583.12x = 804.82 × 334.61
  4. Step 4: Simplify right side
    583.12x = 269,300.23
  5. Step 5: Solve for x
    x = 269,300.23/583.12
  6. Step 6: Final answer
    x = 461.83

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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.