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Finding the Fourth Proportional to 409.04, 564.46 and 231.99

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Solution

The fourth proportional to 409.04, 564.46 and 231.99 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 564.46 = 231.99 : x
  2. Step 2: Convert to fraction form
    409.04/564.46 = 231.99/x
  3. Step 3: Cross multiply
    409.04x = 564.46 × 231.99
  4. Step 4: Simplify right side
    409.04x = 130,949.08
  5. Step 5: Solve for x
    x = 130,949.08/409.04
  6. Step 6: Final answer
    x = 320.14

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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.