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Finding the Fourth Proportional to 663.67, 995.49 and 225.02

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Solution

The fourth proportional to 663.67, 995.49 and 225.02 is: 337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.67 : 995.49 = 225.02 : x
  2. Step 2: Convert to fraction form
    663.67/995.49 = 225.02/x
  3. Step 3: Cross multiply
    663.67x = 995.49 × 225.02
  4. Step 4: Simplify right side
    663.67x = 224,005.16
  5. Step 5: Solve for x
    x = 224,005.16/663.67
  6. Step 6: Final answer
    x = 337.52

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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.