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Finding the Fourth Proportional to 1,338.40, 2,007.32 and 364.27

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Solution

The fourth proportional to 1,338.40, 2,007.32 and 364.27 is: 546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.40 : 2,007.32 = 364.27 : x
  2. Step 2: Convert to fraction form
    1,338.40/2,007.32 = 364.27/x
  3. Step 3: Cross multiply
    1,338.40x = 2,007.32 × 364.27
  4. Step 4: Simplify right side
    1,338.40x = 731,206.46
  5. Step 5: Solve for x
    x = 731,206.46/1,338.40
  6. Step 6: Final answer
    x = 546.33

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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.