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Finding the Fourth Proportional to 605.01, 906.66 and 344.64

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Solution

The fourth proportional to 605.01, 906.66 and 344.64 is: 516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.01 : 906.66 = 344.64 : x
  2. Step 2: Convert to fraction form
    605.01/906.66 = 344.64/x
  3. Step 3: Cross multiply
    605.01x = 906.66 × 344.64
  4. Step 4: Simplify right side
    605.01x = 312,471.30
  5. Step 5: Solve for x
    x = 312,471.30/605.01
  6. Step 6: Final answer
    x = 516.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.