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Finding the Fourth Proportional to 496.22, 685.01 and 434.12

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Solution

The fourth proportional to 496.22, 685.01 and 434.12 is: 599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.22 : 685.01 = 434.12 : x
  2. Step 2: Convert to fraction form
    496.22/685.01 = 434.12/x
  3. Step 3: Cross multiply
    496.22x = 685.01 × 434.12
  4. Step 4: Simplify right side
    496.22x = 297,374.37
  5. Step 5: Solve for x
    x = 297,374.37/496.22
  6. Step 6: Final answer
    x = 599.28

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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.