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Finding the Fourth Proportional to 435.20, 599.72 and 324.48

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Solution

The fourth proportional to 435.20, 599.72 and 324.48 is: 447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.20 : 599.72 = 324.48 : x
  2. Step 2: Convert to fraction form
    435.20/599.72 = 324.48/x
  3. Step 3: Cross multiply
    435.20x = 599.72 × 324.48
  4. Step 4: Simplify right side
    435.20x = 194,597.15
  5. Step 5: Solve for x
    x = 194,597.15/435.20
  6. Step 6: Final answer
    x = 447.14

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Why These Related Problems?

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