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Finding the Fourth Proportional to 939.40, 1,409.14 and 290.14

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Solution

The fourth proportional to 939.40, 1,409.14 and 290.14 is: 435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.40 : 1,409.14 = 290.14 : x
  2. Step 2: Convert to fraction form
    939.40/1,409.14 = 290.14/x
  3. Step 3: Cross multiply
    939.40x = 1,409.14 × 290.14
  4. Step 4: Simplify right side
    939.40x = 408,847.88
  5. Step 5: Solve for x
    x = 408,847.88/939.40
  6. Step 6: Final answer
    x = 435.22

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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.