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Finding the Fourth Proportional to 689.06, 950.75 and 409.25

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Solution

The fourth proportional to 689.06, 950.75 and 409.25 is: 564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.06 : 950.75 = 409.25 : x
  2. Step 2: Convert to fraction form
    689.06/950.75 = 409.25/x
  3. Step 3: Cross multiply
    689.06x = 950.75 × 409.25
  4. Step 4: Simplify right side
    689.06x = 389,094.44
  5. Step 5: Solve for x
    x = 389,094.44/689.06
  6. Step 6: Final answer
    x = 564.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.