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Finding the Fourth Proportional to 298.28, 410.70 and 258.86

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Solution

The fourth proportional to 298.28, 410.70 and 258.86 is: 356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.28 : 410.70 = 258.86 : x
  2. Step 2: Convert to fraction form
    298.28/410.70 = 258.86/x
  3. Step 3: Cross multiply
    298.28x = 410.70 × 258.86
  4. Step 4: Simplify right side
    298.28x = 106,313.80
  5. Step 5: Solve for x
    x = 106,313.80/298.28
  6. Step 6: Final answer
    x = 356.42

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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.