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Finding the Fourth Proportional to 496.20, 684.54 and 309.63

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Solution

The fourth proportional to 496.20, 684.54 and 309.63 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.20 : 684.54 = 309.63 : x
  2. Step 2: Convert to fraction form
    496.20/684.54 = 309.63/x
  3. Step 3: Cross multiply
    496.20x = 684.54 × 309.63
  4. Step 4: Simplify right side
    496.20x = 211,954.12
  5. Step 5: Solve for x
    x = 211,954.12/496.20
  6. Step 6: Final answer
    x = 427.15

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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.