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Finding the Fourth Proportional to 298.48, 449.76 and 245.56

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Solution

The fourth proportional to 298.48, 449.76 and 245.56 is: 370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.48 : 449.76 = 245.56 : x
  2. Step 2: Convert to fraction form
    298.48/449.76 = 245.56/x
  3. Step 3: Cross multiply
    298.48x = 449.76 × 245.56
  4. Step 4: Simplify right side
    298.48x = 110,443.07
  5. Step 5: Solve for x
    x = 110,443.07/298.48
  6. Step 6: Final answer
    x = 370.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.