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Finding the Fourth Proportional to 583.22, 804.94 and 406.46

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Solution

The fourth proportional to 583.22, 804.94 and 406.46 is: 560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.22 : 804.94 = 406.46 : x
  2. Step 2: Convert to fraction form
    583.22/804.94 = 406.46/x
  3. Step 3: Cross multiply
    583.22x = 804.94 × 406.46
  4. Step 4: Simplify right side
    583.22x = 327,175.91
  5. Step 5: Solve for x
    x = 327,175.91/583.22
  6. Step 6: Final answer
    x = 560.98

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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.