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Finding the Fourth Proportional to 602, 830.75 and 336.43

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Solution

The fourth proportional to 602, 830.75 and 336.43 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 830.75 = 336.43 : x
  2. Step 2: Convert to fraction form
    602/830.75 = 336.43/x
  3. Step 3: Cross multiply
    602x = 830.75 × 336.43
  4. Step 4: Simplify right side
    602x = 279,489.22
  5. Step 5: Solve for x
    x = 279,489.22/602
  6. Step 6: Final answer
    x = 464.27

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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.