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Finding the Fourth Proportional to 679.57, 937.89 and 430.88

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Solution

The fourth proportional to 679.57, 937.89 and 430.88 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.57 : 937.89 = 430.88 : x
  2. Step 2: Convert to fraction form
    679.57/937.89 = 430.88/x
  3. Step 3: Cross multiply
    679.57x = 937.89 × 430.88
  4. Step 4: Simplify right side
    679.57x = 404,113.35
  5. Step 5: Solve for x
    x = 404,113.35/679.57
  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.