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Finding the Fourth Proportional to 338.31, 505.23 and 289.04

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Solution

The fourth proportional to 338.31, 505.23 and 289.04 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 505.23 = 289.04 : x
  2. Step 2: Convert to fraction form
    338.31/505.23 = 289.04/x
  3. Step 3: Cross multiply
    338.31x = 505.23 × 289.04
  4. Step 4: Simplify right side
    338.31x = 146,029.15
  5. Step 5: Solve for x
    x = 146,029.15/338.31
  6. Step 6: Final answer
    x = 431.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.