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Finding the Fourth Proportional to 613.23, 846.36 and 465.60

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Solution

The fourth proportional to 613.23, 846.36 and 465.60 is: 642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.23 : 846.36 = 465.60 : x
  2. Step 2: Convert to fraction form
    613.23/846.36 = 465.60/x
  3. Step 3: Cross multiply
    613.23x = 846.36 × 465.60
  4. Step 4: Simplify right side
    613.23x = 394,065.22
  5. Step 5: Solve for x
    x = 394,065.22/613.23
  6. Step 6: Final answer
    x = 642.61

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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.