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Finding the Fourth Proportional to 409.42, 613.90 and 192.79

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Solution

The fourth proportional to 409.42, 613.90 and 192.79 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 613.90 = 192.79 : x
  2. Step 2: Convert to fraction form
    409.42/613.90 = 192.79/x
  3. Step 3: Cross multiply
    409.42x = 613.90 × 192.79
  4. Step 4: Simplify right side
    409.42x = 118,353.78
  5. Step 5: Solve for x
    x = 118,353.78/409.42
  6. Step 6: Final answer
    x = 289.08

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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.