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Finding the Fourth Proportional to 689.25, 951.98 and 467.82

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Solution

The fourth proportional to 689.25, 951.98 and 467.82 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.25 : 951.98 = 467.82 : x
  2. Step 2: Convert to fraction form
    689.25/951.98 = 467.82/x
  3. Step 3: Cross multiply
    689.25x = 951.98 × 467.82
  4. Step 4: Simplify right side
    689.25x = 445,352.94
  5. Step 5: Solve for x
    x = 445,352.94/689.25
  6. Step 6: Final answer
    x = 646.14

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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.