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Finding the Fourth Proportional to 663.71, 995.72 and 201.47

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Solution

The fourth proportional to 663.71, 995.72 and 201.47 is: 302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.71 : 995.72 = 201.47 : x
  2. Step 2: Convert to fraction form
    663.71/995.72 = 201.47/x
  3. Step 3: Cross multiply
    663.71x = 995.72 × 201.47
  4. Step 4: Simplify right side
    663.71x = 200,603.23
  5. Step 5: Solve for x
    x = 200,603.23/663.71
  6. Step 6: Final answer
    x = 302.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.