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Finding the Fourth Proportional to 468.48, 646.60 and 321.31

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Solution

The fourth proportional to 468.48, 646.60 and 321.31 is: 443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.48 : 646.60 = 321.31 : x
  2. Step 2: Convert to fraction form
    468.48/646.60 = 321.31/x
  3. Step 3: Cross multiply
    468.48x = 646.60 × 321.31
  4. Step 4: Simplify right side
    468.48x = 207,755.81
  5. Step 5: Solve for x
    x = 207,755.81/468.48
  6. Step 6: Final answer
    x = 443.47

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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.