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Finding the Fourth Proportional to 354.66, 488.27 and 344.54

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Solution

The fourth proportional to 354.66, 488.27 and 344.54 is: 474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.66 : 488.27 = 344.54 : x
  2. Step 2: Convert to fraction form
    354.66/488.27 = 344.54/x
  3. Step 3: Cross multiply
    354.66x = 488.27 × 344.54
  4. Step 4: Simplify right side
    354.66x = 168,224.38
  5. Step 5: Solve for x
    x = 168,224.38/354.66
  6. Step 6: Final answer
    x = 474.33

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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.