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Finding the Fourth Proportional to 409.05, 565.38 and 299.29

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Solution

The fourth proportional to 409.05, 565.38 and 299.29 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.05 : 565.38 = 299.29 : x
  2. Step 2: Convert to fraction form
    409.05/565.38 = 299.29/x
  3. Step 3: Cross multiply
    409.05x = 565.38 × 299.29
  4. Step 4: Simplify right side
    409.05x = 169,212.58
  5. Step 5: Solve for x
    x = 169,212.58/409.05
  6. Step 6: Final answer
    x = 413.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.