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Finding the Fourth Proportional to 409.80, 566.09 and 299.89

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Solution

The fourth proportional to 409.80, 566.09 and 299.89 is: 414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 566.09 = 299.89 : x
  2. Step 2: Convert to fraction form
    409.80/566.09 = 299.89/x
  3. Step 3: Cross multiply
    409.80x = 566.09 × 299.89
  4. Step 4: Simplify right side
    409.80x = 169,765.06
  5. Step 5: Solve for x
    x = 169,765.06/409.80
  6. Step 6: Final answer
    x = 414.26

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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.