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Finding the Fourth Proportional to 663.70, 995.08 and 312.11

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Solution

The fourth proportional to 663.70, 995.08 and 312.11 is: 467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.70 : 995.08 = 312.11 : x
  2. Step 2: Convert to fraction form
    663.70/995.08 = 312.11/x
  3. Step 3: Cross multiply
    663.70x = 995.08 × 312.11
  4. Step 4: Simplify right side
    663.70x = 310,571.61
  5. Step 5: Solve for x
    x = 310,571.61/663.70
  6. Step 6: Final answer
    x = 467.94

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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.