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Finding the Fourth Proportional to 505.26, 696.78 and 318.63

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Solution

The fourth proportional to 505.26, 696.78 and 318.63 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.26 : 696.78 = 318.63 : x
  2. Step 2: Convert to fraction form
    505.26/696.78 = 318.63/x
  3. Step 3: Cross multiply
    505.26x = 696.78 × 318.63
  4. Step 4: Simplify right side
    505.26x = 222,015.01
  5. Step 5: Solve for x
    x = 222,015.01/505.26
  6. Step 6: Final answer
    x = 439.41

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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.