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Finding the Fourth Proportional to 583.26, 804.85 and 362.13

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Solution

The fourth proportional to 583.26, 804.85 and 362.13 is: 499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.26 : 804.85 = 362.13 : x
  2. Step 2: Convert to fraction form
    583.26/804.85 = 362.13/x
  3. Step 3: Cross multiply
    583.26x = 804.85 × 362.13
  4. Step 4: Simplify right side
    583.26x = 291,460.33
  5. Step 5: Solve for x
    x = 291,460.33/583.26
  6. Step 6: Final answer
    x = 499.71

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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.