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Finding the Fourth Proportional to 409.93, 614.94 and 193.39

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Solution

The fourth proportional to 409.93, 614.94 and 193.39 is: 290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.93 : 614.94 = 193.39 : x
  2. Step 2: Convert to fraction form
    409.93/614.94 = 193.39/x
  3. Step 3: Cross multiply
    409.93x = 614.94 × 193.39
  4. Step 4: Simplify right side
    409.93x = 118,923.25
  5. Step 5: Solve for x
    x = 118,923.25/409.93
  6. Step 6: Final answer
    x = 290.11

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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.