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Finding the Fourth Proportional to 689.02, 950.85 and 374.28

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Solution

The fourth proportional to 689.02, 950.85 and 374.28 is: 516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.02 : 950.85 = 374.28 : x
  2. Step 2: Convert to fraction form
    689.02/950.85 = 374.28/x
  3. Step 3: Cross multiply
    689.02x = 950.85 × 374.28
  4. Step 4: Simplify right side
    689.02x = 355,886.86
  5. Step 5: Solve for x
    x = 355,886.86/689.02
  6. Step 6: Final answer
    x = 516.51

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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.