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Finding the Fourth Proportional to 601.39, 830.31 and 426.43

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Solution

The fourth proportional to 601.39, 830.31 and 426.43 is: 588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.39 : 830.31 = 426.43 : x
  2. Step 2: Convert to fraction form
    601.39/830.31 = 426.43/x
  3. Step 3: Cross multiply
    601.39x = 830.31 × 426.43
  4. Step 4: Simplify right side
    601.39x = 354,069.09
  5. Step 5: Solve for x
    x = 354,069.09/601.39
  6. Step 6: Final answer
    x = 588.75

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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.