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Finding the Fourth Proportional to 582.83, 804.36 and 361.81

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Solution

The fourth proportional to 582.83, 804.36 and 361.81 is: 499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 804.36 = 361.81 : x
  2. Step 2: Convert to fraction form
    582.83/804.36 = 361.81/x
  3. Step 3: Cross multiply
    582.83x = 804.36 × 361.81
  4. Step 4: Simplify right side
    582.83x = 291,025.49
  5. Step 5: Solve for x
    x = 291,025.49/582.83
  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.