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Finding the Fourth Proportional to 913.53, 1,370.18 and 419.97

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Solution

The fourth proportional to 913.53, 1,370.18 and 419.97 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.53 : 1,370.18 = 419.97 : x
  2. Step 2: Convert to fraction form
    913.53/1,370.18 = 419.97/x
  3. Step 3: Cross multiply
    913.53x = 1,370.18 × 419.97
  4. Step 4: Simplify right side
    913.53x = 575,436.98
  5. Step 5: Solve for x
    x = 575,436.98/913.53
  6. Step 6: Final answer
    x = 629.91

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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.