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Finding the Fourth Proportional to 433.82, 597.38 and 374.73

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Solution

The fourth proportional to 433.82, 597.38 and 374.73 is: 516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.82 : 597.38 = 374.73 : x
  2. Step 2: Convert to fraction form
    433.82/597.38 = 374.73/x
  3. Step 3: Cross multiply
    433.82x = 597.38 × 374.73
  4. Step 4: Simplify right side
    433.82x = 223,852.09
  5. Step 5: Solve for x
    x = 223,852.09/433.82
  6. Step 6: Final answer
    x = 516.00

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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.