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Finding the Fourth Proportional to 468.69, 646.88 and 357.96

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Solution

The fourth proportional to 468.69, 646.88 and 357.96 is: 494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.69 : 646.88 = 357.96 : x
  2. Step 2: Convert to fraction form
    468.69/646.88 = 357.96/x
  3. Step 3: Cross multiply
    468.69x = 646.88 × 357.96
  4. Step 4: Simplify right side
    468.69x = 231,557.16
  5. Step 5: Solve for x
    x = 231,557.16/468.69
  6. Step 6: Final answer
    x = 494.05

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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.