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Finding the Fourth Proportional to 468.68, 646.16 and 357.96

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Solution

The fourth proportional to 468.68, 646.16 and 357.96 is: 493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.68 : 646.16 = 357.96 : x
  2. Step 2: Convert to fraction form
    468.68/646.16 = 357.96/x
  3. Step 3: Cross multiply
    468.68x = 646.16 × 357.96
  4. Step 4: Simplify right side
    468.68x = 231,299.43
  5. Step 5: Solve for x
    x = 231,299.43/468.68
  6. Step 6: Final answer
    x = 493.51

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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.