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Finding the Fourth Proportional to 333.36, 498.70 and 298.78

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Solution

The fourth proportional to 333.36, 498.70 and 298.78 is: 446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.36 : 498.70 = 298.78 : x
  2. Step 2: Convert to fraction form
    333.36/498.70 = 298.78/x
  3. Step 3: Cross multiply
    333.36x = 498.70 × 298.78
  4. Step 4: Simplify right side
    333.36x = 149,001.59
  5. Step 5: Solve for x
    x = 149,001.59/333.36
  6. Step 6: Final answer
    x = 446.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.