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Finding the Fourth Proportional to 355.27, 489.26 and 256.87

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Solution

The fourth proportional to 355.27, 489.26 and 256.87 is: 353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.27 : 489.26 = 256.87 : x
  2. Step 2: Convert to fraction form
    355.27/489.26 = 256.87/x
  3. Step 3: Cross multiply
    355.27x = 489.26 × 256.87
  4. Step 4: Simplify right side
    355.27x = 125,676.22
  5. Step 5: Solve for x
    x = 125,676.22/355.27
  6. Step 6: Final answer
    x = 353.75

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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.