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Finding the Fourth Proportional to 582.72, 804.30 and 361.74

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Solution

The fourth proportional to 582.72, 804.30 and 361.74 is: 499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.72 : 804.30 = 361.74 : x
  2. Step 2: Convert to fraction form
    582.72/804.30 = 361.74/x
  3. Step 3: Cross multiply
    582.72x = 804.30 × 361.74
  4. Step 4: Simplify right side
    582.72x = 290,947.48
  5. Step 5: Solve for x
    x = 290,947.48/582.72
  6. Step 6: Final answer
    x = 499.29

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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.