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Finding the Fourth Proportional to 613.40, 845.51 and 427.10

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Solution

The fourth proportional to 613.40, 845.51 and 427.10 is: 588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.40 : 845.51 = 427.10 : x
  2. Step 2: Convert to fraction form
    613.40/845.51 = 427.10/x
  3. Step 3: Cross multiply
    613.40x = 845.51 × 427.10
  4. Step 4: Simplify right side
    613.40x = 361,110.96
  5. Step 5: Solve for x
    x = 361,110.96/613.40
  6. Step 6: Final answer
    x = 588.71

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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.