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Finding the Fourth Proportional to 582.90, 804.18 and 361.92

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Solution

The fourth proportional to 582.90, 804.18 and 361.92 is: 499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.90 : 804.18 = 361.92 : x
  2. Step 2: Convert to fraction form
    582.90/804.18 = 361.92/x
  3. Step 3: Cross multiply
    582.90x = 804.18 × 361.92
  4. Step 4: Simplify right side
    582.90x = 291,046.64
  5. Step 5: Solve for x
    x = 291,046.64/582.90
  6. Step 6: Final answer
    x = 499.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.