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Finding the Fourth Proportional to 583.47, 874 and 363.37

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Solution

The fourth proportional to 583.47, 874 and 363.37 is: 544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.47 : 874 = 363.37 : x
  2. Step 2: Convert to fraction form
    583.47/874 = 363.37/x
  3. Step 3: Cross multiply
    583.47x = 874 × 363.37
  4. Step 4: Simplify right side
    583.47x = 317,585.38
  5. Step 5: Solve for x
    x = 317,585.38/583.47
  6. Step 6: Final answer
    x = 544.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.