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Finding the Fourth Proportional to 496.40, 684.74 and 309.92

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Solution

The fourth proportional to 496.40, 684.74 and 309.92 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.40 : 684.74 = 309.92 : x
  2. Step 2: Convert to fraction form
    496.40/684.74 = 309.92/x
  3. Step 3: Cross multiply
    496.40x = 684.74 × 309.92
  4. Step 4: Simplify right side
    496.40x = 212,214.62
  5. Step 5: Solve for x
    x = 212,214.62/496.40
  6. Step 6: Final answer
    x = 427.51

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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.