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Finding the Fourth Proportional to 663.46, 995.08 and 176.52

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Solution

The fourth proportional to 663.46, 995.08 and 176.52 is: 264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.46 : 995.08 = 176.52 : x
  2. Step 2: Convert to fraction form
    663.46/995.08 = 176.52/x
  3. Step 3: Cross multiply
    663.46x = 995.08 × 176.52
  4. Step 4: Simplify right side
    663.46x = 175,651.52
  5. Step 5: Solve for x
    x = 175,651.52/663.46
  6. Step 6: Final answer
    x = 264.75

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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.