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Finding the Fourth Proportional to 298.86, 451.11 and 298.86

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Solution

The fourth proportional to 298.86, 451.11 and 298.86 is: 451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.86 : 451.11 = 298.86 : x
  2. Step 2: Convert to fraction form
    298.86/451.11 = 298.86/x
  3. Step 3: Cross multiply
    298.86x = 451.11 × 298.86
  4. Step 4: Simplify right side
    298.86x = 134,818.73
  5. Step 5: Solve for x
    x = 134,818.73/298.86
  6. Step 6: Final answer
    x = 451.11

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