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Finding the Fourth Proportional to 716.73, 989.11 and 464.71

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Solution

The fourth proportional to 716.73, 989.11 and 464.71 is: 641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.73 : 989.11 = 464.71 : x
  2. Step 2: Convert to fraction form
    716.73/989.11 = 464.71/x
  3. Step 3: Cross multiply
    716.73x = 989.11 × 464.71
  4. Step 4: Simplify right side
    716.73x = 459,646.25
  5. Step 5: Solve for x
    x = 459,646.25/716.73
  6. Step 6: Final answer
    x = 641.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.