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Finding the Fourth Proportional to 583.58, 804.11 and 536.42

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Solution

The fourth proportional to 583.58, 804.11 and 536.42 is: 739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 804.11 = 536.42 : x
  2. Step 2: Convert to fraction form
    583.58/804.11 = 536.42/x
  3. Step 3: Cross multiply
    583.58x = 804.11 × 536.42
  4. Step 4: Simplify right side
    583.58x = 431,333.98
  5. Step 5: Solve for x
    x = 431,333.98/583.58
  6. Step 6: Final answer
    x = 739.12

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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.