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Finding the Fourth Proportional to 298.37, 410.91 and 258.89

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Solution

The fourth proportional to 298.37, 410.91 and 258.89 is: 356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.37 : 410.91 = 258.89 : x
  2. Step 2: Convert to fraction form
    298.37/410.91 = 258.89/x
  3. Step 3: Cross multiply
    298.37x = 410.91 × 258.89
  4. Step 4: Simplify right side
    298.37x = 106,378.44
  5. Step 5: Solve for x
    x = 106,378.44/298.37
  6. Step 6: Final answer
    x = 356.54

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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.