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Finding the Fourth Proportional to 602, 830.77 and 326

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Solution

The fourth proportional to 602, 830.77 and 326 is: 449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 830.77 = 326 : x
  2. Step 2: Convert to fraction form
    602/830.77 = 326/x
  3. Step 3: Cross multiply
    602x = 830.77 × 326
  4. Step 4: Simplify right side
    602x = 270,829.39
  5. Step 5: Solve for x
    x = 270,829.39/602
  6. Step 6: Final answer
    x = 449.88

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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.