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Finding the Fourth Proportional to 355.23, 489.78 and 256.95

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Solution

The fourth proportional to 355.23, 489.78 and 256.95 is: 354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.23 : 489.78 = 256.95 : x
  2. Step 2: Convert to fraction form
    355.23/489.78 = 256.95/x
  3. Step 3: Cross multiply
    355.23x = 489.78 × 256.95
  4. Step 4: Simplify right side
    355.23x = 125,848.97
  5. Step 5: Solve for x
    x = 125,848.97/355.23
  6. Step 6: Final answer
    x = 354.27

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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.