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Finding the Fourth Proportional to 583.07, 804.73 and 426.22

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Solution

The fourth proportional to 583.07, 804.73 and 426.22 is: 588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.07 : 804.73 = 426.22 : x
  2. Step 2: Convert to fraction form
    583.07/804.73 = 426.22/x
  3. Step 3: Cross multiply
    583.07x = 804.73 × 426.22
  4. Step 4: Simplify right side
    583.07x = 342,985.87
  5. Step 5: Solve for x
    x = 342,985.87/583.07
  6. Step 6: Final answer
    x = 588.24

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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.