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Finding the Fourth Proportional to 354.36, 488.76 and 223.22

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Solution

The fourth proportional to 354.36, 488.76 and 223.22 is: 307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.36 : 488.76 = 223.22 : x
  2. Step 2: Convert to fraction form
    354.36/488.76 = 223.22/x
  3. Step 3: Cross multiply
    354.36x = 488.76 × 223.22
  4. Step 4: Simplify right side
    354.36x = 109,101.01
  5. Step 5: Solve for x
    x = 109,101.01/354.36
  6. Step 6: Final answer
    x = 307.88

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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.