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Finding the Fourth Proportional to 435.41, 599.86 and 324.67

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Solution

The fourth proportional to 435.41, 599.86 and 324.67 is: 447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.41 : 599.86 = 324.67 : x
  2. Step 2: Convert to fraction form
    435.41/599.86 = 324.67/x
  3. Step 3: Cross multiply
    435.41x = 599.86 × 324.67
  4. Step 4: Simplify right side
    435.41x = 194,756.55
  5. Step 5: Solve for x
    x = 194,756.55/435.41
  6. Step 6: Final answer
    x = 447.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.