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Finding the Fourth Proportional to 409.29, 613.13 and 193.02

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Solution

The fourth proportional to 409.29, 613.13 and 193.02 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 613.13 = 193.02 : x
  2. Step 2: Convert to fraction form
    409.29/613.13 = 193.02/x
  3. Step 3: Cross multiply
    409.29x = 613.13 × 193.02
  4. Step 4: Simplify right side
    409.29x = 118,346.54
  5. Step 5: Solve for x
    x = 118,346.54/409.29
  6. Step 6: Final answer
    x = 289.15

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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.