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Finding the Fourth Proportional to 468.67, 646.67 and 291.68

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Solution

The fourth proportional to 468.67, 646.67 and 291.68 is: 402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.67 : 646.67 = 291.68 : x
  2. Step 2: Convert to fraction form
    468.67/646.67 = 291.68/x
  3. Step 3: Cross multiply
    468.67x = 646.67 × 291.68
  4. Step 4: Simplify right side
    468.67x = 188,618.20
  5. Step 5: Solve for x
    x = 188,618.20/468.67
  6. Step 6: Final answer
    x = 402.46

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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.