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Finding the Fourth Proportional to 354.74, 489.26 and 230.48

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Solution

The fourth proportional to 354.74, 489.26 and 230.48 is: 317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.74 : 489.26 = 230.48 : x
  2. Step 2: Convert to fraction form
    354.74/489.26 = 230.48/x
  3. Step 3: Cross multiply
    354.74x = 489.26 × 230.48
  4. Step 4: Simplify right side
    354.74x = 112,764.64
  5. Step 5: Solve for x
    x = 112,764.64/354.74
  6. Step 6: Final answer
    x = 317.88

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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.