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Finding the Fourth Proportional to 738.23, 1,107.48 and 305.42

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Solution

The fourth proportional to 738.23, 1,107.48 and 305.42 is: 458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.23 : 1,107.48 = 305.42 : x
  2. Step 2: Convert to fraction form
    738.23/1,107.48 = 305.42/x
  3. Step 3: Cross multiply
    738.23x = 1,107.48 × 305.42
  4. Step 4: Simplify right side
    738.23x = 338,246.54
  5. Step 5: Solve for x
    x = 338,246.54/738.23
  6. Step 6: Final answer
    x = 458.19

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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.