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Finding the Fourth Proportional to 354.09, 488.58 and 223.28

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Solution

The fourth proportional to 354.09, 488.58 and 223.28 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.09 : 488.58 = 223.28 : x
  2. Step 2: Convert to fraction form
    354.09/488.58 = 223.28/x
  3. Step 3: Cross multiply
    354.09x = 488.58 × 223.28
  4. Step 4: Simplify right side
    354.09x = 109,090.14
  5. Step 5: Solve for x
    x = 109,090.14/354.09
  6. Step 6: Final answer
    x = 308.09

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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.