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Finding the Fourth Proportional to 354.29, 488.73 and 223.25

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Solution

The fourth proportional to 354.29, 488.73 and 223.25 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.29 : 488.73 = 223.25 : x
  2. Step 2: Convert to fraction form
    354.29/488.73 = 223.25/x
  3. Step 3: Cross multiply
    354.29x = 488.73 × 223.25
  4. Step 4: Simplify right side
    354.29x = 109,108.97
  5. Step 5: Solve for x
    x = 109,108.97/354.29
  6. Step 6: Final answer
    x = 307.97

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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.