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Finding the Fourth Proportional to 583.16, 804.47 and 361.76

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Solution

The fourth proportional to 583.16, 804.47 and 361.76 is: 499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.16 : 804.47 = 361.76 : x
  2. Step 2: Convert to fraction form
    583.16/804.47 = 361.76/x
  3. Step 3: Cross multiply
    583.16x = 804.47 × 361.76
  4. Step 4: Simplify right side
    583.16x = 291,019.24
  5. Step 5: Solve for x
    x = 291,019.24/583.16
  6. Step 6: Final answer
    x = 499.04

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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.