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Finding the Fourth Proportional to 409.28, 564.80 and 222.75

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Solution

The fourth proportional to 409.28, 564.80 and 222.75 is: 307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.28 : 564.80 = 222.75 : x
  2. Step 2: Convert to fraction form
    409.28/564.80 = 222.75/x
  3. Step 3: Cross multiply
    409.28x = 564.80 × 222.75
  4. Step 4: Simplify right side
    409.28x = 125,808.09
  5. Step 5: Solve for x
    x = 125,808.09/409.28
  6. Step 6: Final answer
    x = 307.39

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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.