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Finding the Fourth Proportional to 663.47, 995.09 and 176.52

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Solution

The fourth proportional to 663.47, 995.09 and 176.52 is: 264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.47 : 995.09 = 176.52 : x
  2. Step 2: Convert to fraction form
    663.47/995.09 = 176.52/x
  3. Step 3: Cross multiply
    663.47x = 995.09 × 176.52
  4. Step 4: Simplify right side
    663.47x = 175,652.40
  5. Step 5: Solve for x
    x = 175,652.40/663.47
  6. Step 6: Final answer
    x = 264.75

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Why These Related Problems?

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