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Finding the Fourth Proportional to 689.10, 950.67 and 455.82

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Solution

The fourth proportional to 689.10, 950.67 and 455.82 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.10 : 950.67 = 455.82 : x
  2. Step 2: Convert to fraction form
    689.10/950.67 = 455.82/x
  3. Step 3: Cross multiply
    689.10x = 950.67 × 455.82
  4. Step 4: Simplify right side
    689.10x = 433,334.40
  5. Step 5: Solve for x
    x = 433,334.40/689.10
  6. Step 6: Final answer
    x = 628.84

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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.