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Finding the Fourth Proportional to 663.57, 995.07 and 230.76

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Solution

The fourth proportional to 663.57, 995.07 and 230.76 is: 346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 995.07 = 230.76 : x
  2. Step 2: Convert to fraction form
    663.57/995.07 = 230.76/x
  3. Step 3: Cross multiply
    663.57x = 995.07 × 230.76
  4. Step 4: Simplify right side
    663.57x = 229,622.35
  5. Step 5: Solve for x
    x = 229,622.35/663.57
  6. Step 6: Final answer
    x = 346.04

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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.