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Finding the Fourth Proportional to 679.62, 937.90 and 430.90

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Solution

The fourth proportional to 679.62, 937.90 and 430.90 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.62 : 937.90 = 430.90 : x
  2. Step 2: Convert to fraction form
    679.62/937.90 = 430.90/x
  3. Step 3: Cross multiply
    679.62x = 937.90 × 430.90
  4. Step 4: Simplify right side
    679.62x = 404,141.11
  5. Step 5: Solve for x
    x = 404,141.11/679.62
  6. Step 6: Final answer
    x = 594.66

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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.