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Finding the Fourth Proportional to 409.63, 614.03 and 192.82

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Solution

The fourth proportional to 409.63, 614.03 and 192.82 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 614.03 = 192.82 : x
  2. Step 2: Convert to fraction form
    409.63/614.03 = 192.82/x
  3. Step 3: Cross multiply
    409.63x = 614.03 × 192.82
  4. Step 4: Simplify right side
    409.63x = 118,397.26
  5. Step 5: Solve for x
    x = 118,397.26/409.63
  6. Step 6: Final answer
    x = 289.03

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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.