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Finding the Fourth Proportional to 689.31, 951.35 and 427.41

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Solution

The fourth proportional to 689.31, 951.35 and 427.41 is: 589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.31 : 951.35 = 427.41 : x
  2. Step 2: Convert to fraction form
    689.31/951.35 = 427.41/x
  3. Step 3: Cross multiply
    689.31x = 951.35 × 427.41
  4. Step 4: Simplify right side
    689.31x = 406,614.37
  5. Step 5: Solve for x
    x = 406,614.37/689.31
  6. Step 6: Final answer
    x = 589.89

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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.