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Finding the Fourth Proportional to 409.23, 613.53 and 192.60

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Solution

The fourth proportional to 409.23, 613.53 and 192.60 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 613.53 = 192.60 : x
  2. Step 2: Convert to fraction form
    409.23/613.53 = 192.60/x
  3. Step 3: Cross multiply
    409.23x = 613.53 × 192.60
  4. Step 4: Simplify right side
    409.23x = 118,165.88
  5. Step 5: Solve for x
    x = 118,165.88/409.23
  6. Step 6: Final answer
    x = 288.75

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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.