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Finding the Fourth Proportional to 613.80, 846.72 and 426.96

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Solution

The fourth proportional to 613.80, 846.72 and 426.96 is: 588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 846.72 = 426.96 : x
  2. Step 2: Convert to fraction form
    613.80/846.72 = 426.96/x
  3. Step 3: Cross multiply
    613.80x = 846.72 × 426.96
  4. Step 4: Simplify right side
    613.80x = 361,515.57
  5. Step 5: Solve for x
    x = 361,515.57/613.80
  6. Step 6: Final answer
    x = 588.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.