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Finding the Fourth Proportional to 423.92, 634.36 and 313.84

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Solution

The fourth proportional to 423.92, 634.36 and 313.84 is: 469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.92 : 634.36 = 313.84 : x
  2. Step 2: Convert to fraction form
    423.92/634.36 = 313.84/x
  3. Step 3: Cross multiply
    423.92x = 634.36 × 313.84
  4. Step 4: Simplify right side
    423.92x = 199,087.54
  5. Step 5: Solve for x
    x = 199,087.54/423.92
  6. Step 6: Final answer
    x = 469.63

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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.