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Finding the Fourth Proportional to 583.14, 804.66 and 334.43

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Solution

The fourth proportional to 583.14, 804.66 and 334.43 is: 461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.14 : 804.66 = 334.43 : x
  2. Step 2: Convert to fraction form
    583.14/804.66 = 334.43/x
  3. Step 3: Cross multiply
    583.14x = 804.66 × 334.43
  4. Step 4: Simplify right side
    583.14x = 269,098.42
  5. Step 5: Solve for x
    x = 269,098.42/583.14
  6. Step 6: Final answer
    x = 461.46

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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.