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Finding the Fourth Proportional to 583.02, 804.57 and 361.84

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Solution

The fourth proportional to 583.02, 804.57 and 361.84 is: 499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 804.57 = 361.84 : x
  2. Step 2: Convert to fraction form
    583.02/804.57 = 361.84/x
  3. Step 3: Cross multiply
    583.02x = 804.57 × 361.84
  4. Step 4: Simplify right side
    583.02x = 291,120.23
  5. Step 5: Solve for x
    x = 291,120.23/583.02
  6. Step 6: Final answer
    x = 499.33

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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.