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Finding the Fourth Proportional to 689.23, 951.22 and 427.25

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Solution

The fourth proportional to 689.23, 951.22 and 427.25 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.23 : 951.22 = 427.25 : x
  2. Step 2: Convert to fraction form
    689.23/951.22 = 427.25/x
  3. Step 3: Cross multiply
    689.23x = 951.22 × 427.25
  4. Step 4: Simplify right side
    689.23x = 406,408.75
  5. Step 5: Solve for x
    x = 406,408.75/689.23
  6. Step 6: Final answer
    x = 589.66

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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.