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Finding the Fourth Proportional to 679.95, 937.92 and 431.09

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Solution

The fourth proportional to 679.95, 937.92 and 431.09 is: 594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.95 : 937.92 = 431.09 : x
  2. Step 2: Convert to fraction form
    679.95/937.92 = 431.09/x
  3. Step 3: Cross multiply
    679.95x = 937.92 × 431.09
  4. Step 4: Simplify right side
    679.95x = 404,323.24
  5. Step 5: Solve for x
    x = 404,323.24/679.95
  6. Step 6: Final answer
    x = 594.64

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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.