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Finding the Fourth Proportional to 663.42, 995.04 and 230.52

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Solution

The fourth proportional to 663.42, 995.04 and 230.52 is: 345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.42 : 995.04 = 230.52 : x
  2. Step 2: Convert to fraction form
    663.42/995.04 = 230.52/x
  3. Step 3: Cross multiply
    663.42x = 995.04 × 230.52
  4. Step 4: Simplify right side
    663.42x = 229,376.62
  5. Step 5: Solve for x
    x = 229,376.62/663.42
  6. Step 6: Final answer
    x = 345.75

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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.