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Finding the Fourth Proportional to 804.44, 1,205.79 and 317.15

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Solution

The fourth proportional to 804.44, 1,205.79 and 317.15 is: 475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.44 : 1,205.79 = 317.15 : x
  2. Step 2: Convert to fraction form
    804.44/1,205.79 = 317.15/x
  3. Step 3: Cross multiply
    804.44x = 1,205.79 × 317.15
  4. Step 4: Simplify right side
    804.44x = 382,410.27
  5. Step 5: Solve for x
    x = 382,410.27/804.44
  6. Step 6: Final answer
    x = 475.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.