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Finding the Fourth Proportional to 679.67, 937.78 and 430.90

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Solution

The fourth proportional to 679.67, 937.78 and 430.90 is: 594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.67 : 937.78 = 430.90 : x
  2. Step 2: Convert to fraction form
    679.67/937.78 = 430.90/x
  3. Step 3: Cross multiply
    679.67x = 937.78 × 430.90
  4. Step 4: Simplify right side
    679.67x = 404,085.98
  5. Step 5: Solve for x
    x = 404,085.98/679.67
  6. Step 6: Final answer
    x = 594.53

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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.