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Finding the Fourth Proportional to 605.22, 906.03 and 502.08

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Solution

The fourth proportional to 605.22, 906.03 and 502.08 is: 751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.22 : 906.03 = 502.08 : x
  2. Step 2: Convert to fraction form
    605.22/906.03 = 502.08/x
  3. Step 3: Cross multiply
    605.22x = 906.03 × 502.08
  4. Step 4: Simplify right side
    605.22x = 454,899.54
  5. Step 5: Solve for x
    x = 454,899.54/605.22
  6. Step 6: Final answer
    x = 751.63

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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.