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Finding the Fourth Proportional to 468.22, 646.26 and 350.32

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Solution

The fourth proportional to 468.22, 646.26 and 350.32 is: 483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.22 : 646.26 = 350.32 : x
  2. Step 2: Convert to fraction form
    468.22/646.26 = 350.32/x
  3. Step 3: Cross multiply
    468.22x = 646.26 × 350.32
  4. Step 4: Simplify right side
    468.22x = 226,397.80
  5. Step 5: Solve for x
    x = 226,397.80/468.22
  6. Step 6: Final answer
    x = 483.53

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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.