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Finding the Fourth Proportional to 433.01, 597.17 and 338.50

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Solution

The fourth proportional to 433.01, 597.17 and 338.50 is: 466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.01 : 597.17 = 338.50 : x
  2. Step 2: Convert to fraction form
    433.01/597.17 = 338.50/x
  3. Step 3: Cross multiply
    433.01x = 597.17 × 338.50
  4. Step 4: Simplify right side
    433.01x = 202,142.05
  5. Step 5: Solve for x
    x = 202,142.05/433.01
  6. Step 6: Final answer
    x = 466.83

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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.