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Finding the Fourth Proportional to 1,338.31, 2,007.06 and 364.29

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Solution

The fourth proportional to 1,338.31, 2,007.06 and 364.29 is: 546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.31 : 2,007.06 = 364.29 : x
  2. Step 2: Convert to fraction form
    1,338.31/2,007.06 = 364.29/x
  3. Step 3: Cross multiply
    1,338.31x = 2,007.06 × 364.29
  4. Step 4: Simplify right side
    1,338.31x = 731,141.85
  5. Step 5: Solve for x
    x = 731,141.85/1,338.31
  6. Step 6: Final answer
    x = 546.32

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Why These Related Problems?

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