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Finding the Fourth Proportional to 689.60, 950.46 and 468.44

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Solution

The fourth proportional to 689.60, 950.46 and 468.44 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.60 : 950.46 = 468.44 : x
  2. Step 2: Convert to fraction form
    689.60/950.46 = 468.44/x
  3. Step 3: Cross multiply
    689.60x = 950.46 × 468.44
  4. Step 4: Simplify right side
    689.60x = 445,233.48
  5. Step 5: Solve for x
    x = 445,233.48/689.60
  6. Step 6: Final answer
    x = 645.64

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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.