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Finding the Fourth Proportional to 499.36, 689.16 and 394.20

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Solution

The fourth proportional to 499.36, 689.16 and 394.20 is: 544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.36 : 689.16 = 394.20 : x
  2. Step 2: Convert to fraction form
    499.36/689.16 = 394.20/x
  3. Step 3: Cross multiply
    499.36x = 689.16 × 394.20
  4. Step 4: Simplify right side
    499.36x = 271,666.87
  5. Step 5: Solve for x
    x = 271,666.87/499.36
  6. Step 6: Final answer
    x = 544.03

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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.