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Finding the Fourth Proportional to 679.39, 937.28 and 457.96

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Solution

The fourth proportional to 679.39, 937.28 and 457.96 is: 631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.39 : 937.28 = 457.96 : x
  2. Step 2: Convert to fraction form
    679.39/937.28 = 457.96/x
  3. Step 3: Cross multiply
    679.39x = 937.28 × 457.96
  4. Step 4: Simplify right side
    679.39x = 429,236.75
  5. Step 5: Solve for x
    x = 429,236.75/679.39
  6. Step 6: Final answer
    x = 631.80

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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.