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Finding the Fourth Proportional to 409.29, 563.62 and 350.06

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Solution

The fourth proportional to 409.29, 563.62 and 350.06 is: 482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 563.62 = 350.06 : x
  2. Step 2: Convert to fraction form
    409.29/563.62 = 350.06/x
  3. Step 3: Cross multiply
    409.29x = 563.62 × 350.06
  4. Step 4: Simplify right side
    409.29x = 197,300.82
  5. Step 5: Solve for x
    x = 197,300.82/409.29
  6. Step 6: Final answer
    x = 482.06

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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.