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Finding the Fourth Proportional to 354.47, 488.72 and 223.25

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Solution

The fourth proportional to 354.47, 488.72 and 223.25 is: 307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.47 : 488.72 = 223.25 : x
  2. Step 2: Convert to fraction form
    354.47/488.72 = 223.25/x
  3. Step 3: Cross multiply
    354.47x = 488.72 × 223.25
  4. Step 4: Simplify right side
    354.47x = 109,103.18
  5. Step 5: Solve for x
    x = 109,103.18/354.47
  6. Step 6: Final answer
    x = 307.80

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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.