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Finding the Fourth Proportional to 583.20, 804.34 and 396.82

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Solution

The fourth proportional to 583.20, 804.34 and 396.82 is: 547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.20 : 804.34 = 396.82 : x
  2. Step 2: Convert to fraction form
    583.20/804.34 = 396.82/x
  3. Step 3: Cross multiply
    583.20x = 804.34 × 396.82
  4. Step 4: Simplify right side
    583.20x = 319,178.20
  5. Step 5: Solve for x
    x = 319,178.20/583.20
  6. Step 6: Final answer
    x = 547.29

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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.