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Finding the Fourth Proportional to 1,344.33, 2,016.56 and 370.30

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Solution

The fourth proportional to 1,344.33, 2,016.56 and 370.30 is: 555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.33 : 2,016.56 = 370.30 : x
  2. Step 2: Convert to fraction form
    1,344.33/2,016.56 = 370.30/x
  3. Step 3: Cross multiply
    1,344.33x = 2,016.56 × 370.30
  4. Step 4: Simplify right side
    1,344.33x = 746,732.17
  5. Step 5: Solve for x
    x = 746,732.17/1,344.33
  6. Step 6: Final answer
    x = 555.47

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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.