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Finding the Fourth Proportional to 435.36, 652.81 and 298.56

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Solution

The fourth proportional to 435.36, 652.81 and 298.56 is: 447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.36 : 652.81 = 298.56 : x
  2. Step 2: Convert to fraction form
    435.36/652.81 = 298.56/x
  3. Step 3: Cross multiply
    435.36x = 652.81 × 298.56
  4. Step 4: Simplify right side
    435.36x = 194,902.95
  5. Step 5: Solve for x
    x = 194,902.95/435.36
  6. Step 6: Final answer
    x = 447.68

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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.