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Finding the Fourth Proportional to 409.08, 563.56 and 334.96

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Solution

The fourth proportional to 409.08, 563.56 and 334.96 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 563.56 = 334.96 : x
  2. Step 2: Convert to fraction form
    409.08/563.56 = 334.96/x
  3. Step 3: Cross multiply
    409.08x = 563.56 × 334.96
  4. Step 4: Simplify right side
    409.08x = 188,770.06
  5. Step 5: Solve for x
    x = 188,770.06/409.08
  6. Step 6: Final answer
    x = 461.45

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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.