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Finding the Fourth Proportional to 689.08, 950.92 and 390.32

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Solution

The fourth proportional to 689.08, 950.92 and 390.32 is: 538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.08 : 950.92 = 390.32 : x
  2. Step 2: Convert to fraction form
    689.08/950.92 = 390.32/x
  3. Step 3: Cross multiply
    689.08x = 950.92 × 390.32
  4. Step 4: Simplify right side
    689.08x = 371,163.09
  5. Step 5: Solve for x
    x = 371,163.09/689.08
  6. Step 6: Final answer
    x = 538.64

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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.