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Finding the Fourth Proportional to 409.30, 564.84 and 222.80

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Solution

The fourth proportional to 409.30, 564.84 and 222.80 is: 307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.30 : 564.84 = 222.80 : x
  2. Step 2: Convert to fraction form
    409.30/564.84 = 222.80/x
  3. Step 3: Cross multiply
    409.30x = 564.84 × 222.80
  4. Step 4: Simplify right side
    409.30x = 125,843.53
  5. Step 5: Solve for x
    x = 125,843.53/409.30
  6. Step 6: Final answer
    x = 307.46

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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.