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Finding the Fourth Proportional to 298.76, 450.75 and 297.96

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Solution

The fourth proportional to 298.76, 450.75 and 297.96 is: 449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.76 : 450.75 = 297.96 : x
  2. Step 2: Convert to fraction form
    298.76/450.75 = 297.96/x
  3. Step 3: Cross multiply
    298.76x = 450.75 × 297.96
  4. Step 4: Simplify right side
    298.76x = 134,305.47
  5. Step 5: Solve for x
    x = 134,305.47/298.76
  6. Step 6: Final answer
    x = 449.54

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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.