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Finding the Fourth Proportional to 613.90, 846.21 and 482.68

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Solution

The fourth proportional to 613.90, 846.21 and 482.68 is: 665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.90 : 846.21 = 482.68 : x
  2. Step 2: Convert to fraction form
    613.90/846.21 = 482.68/x
  3. Step 3: Cross multiply
    613.90x = 846.21 × 482.68
  4. Step 4: Simplify right side
    613.90x = 408,448.64
  5. Step 5: Solve for x
    x = 408,448.64/613.90
  6. Step 6: Final answer
    x = 665.33

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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.