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Finding the Fourth Proportional to 913.70, 1,370.41 and 419.96

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Solution

The fourth proportional to 913.70, 1,370.41 and 419.96 is: 629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.70 : 1,370.41 = 419.96 : x
  2. Step 2: Convert to fraction form
    913.70/1,370.41 = 419.96/x
  3. Step 3: Cross multiply
    913.70x = 1,370.41 × 419.96
  4. Step 4: Simplify right side
    913.70x = 575,517.38
  5. Step 5: Solve for x
    x = 575,517.38/913.70
  6. Step 6: Final answer
    x = 629.88

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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.