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Finding the Fourth Proportional to 613.69, 846.16 and 466.08

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Solution

The fourth proportional to 613.69, 846.16 and 466.08 is: 642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.69 : 846.16 = 466.08 : x
  2. Step 2: Convert to fraction form
    613.69/846.16 = 466.08/x
  3. Step 3: Cross multiply
    613.69x = 846.16 × 466.08
  4. Step 4: Simplify right side
    613.69x = 394,378.25
  5. Step 5: Solve for x
    x = 394,378.25/613.69
  6. Step 6: Final answer
    x = 642.63

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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.