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Finding the Fourth Proportional to 689.21, 950.88 and 409.46

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Solution

The fourth proportional to 689.21, 950.88 and 409.46 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.21 : 950.88 = 409.46 : x
  2. Step 2: Convert to fraction form
    689.21/950.88 = 409.46/x
  3. Step 3: Cross multiply
    689.21x = 950.88 × 409.46
  4. Step 4: Simplify right side
    689.21x = 389,347.32
  5. Step 5: Solve for x
    x = 389,347.32/689.21
  6. Step 6: Final answer
    x = 564.92

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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.