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Finding the Fourth Proportional to 679.92, 937.64 and 456.36

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Solution

The fourth proportional to 679.92, 937.64 and 456.36 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.92 : 937.64 = 456.36 : x
  2. Step 2: Convert to fraction form
    679.92/937.64 = 456.36/x
  3. Step 3: Cross multiply
    679.92x = 937.64 × 456.36
  4. Step 4: Simplify right side
    679.92x = 427,901.39
  5. Step 5: Solve for x
    x = 427,901.39/679.92
  6. Step 6: Final answer
    x = 629.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.