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Finding the Fourth Proportional to 689.06, 950.96 and 427.23

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Solution

The fourth proportional to 689.06, 950.96 and 427.23 is: 589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.06 : 950.96 = 427.23 : x
  2. Step 2: Convert to fraction form
    689.06/950.96 = 427.23/x
  3. Step 3: Cross multiply
    689.06x = 950.96 × 427.23
  4. Step 4: Simplify right side
    689.06x = 406,278.64
  5. Step 5: Solve for x
    x = 406,278.64/689.06
  6. Step 6: Final answer
    x = 589.61

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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.