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Finding the Fourth Proportional to 958.50, 1,436.22 and 409.41

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Solution

The fourth proportional to 958.50, 1,436.22 and 409.41 is: 613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.50 : 1,436.22 = 409.41 : x
  2. Step 2: Convert to fraction form
    958.50/1,436.22 = 409.41/x
  3. Step 3: Cross multiply
    958.50x = 1,436.22 × 409.41
  4. Step 4: Simplify right side
    958.50x = 588,002.83
  5. Step 5: Solve for x
    x = 588,002.83/958.50
  6. Step 6: Final answer
    x = 613.46

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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.