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Finding the Fourth Proportional to 689.46, 951.73 and 468.54

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Solution

The fourth proportional to 689.46, 951.73 and 468.54 is: 646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.46 : 951.73 = 468.54 : x
  2. Step 2: Convert to fraction form
    689.46/951.73 = 468.54/x
  3. Step 3: Cross multiply
    689.46x = 951.73 × 468.54
  4. Step 4: Simplify right side
    689.46x = 445,922.40
  5. Step 5: Solve for x
    x = 445,922.40/689.46
  6. Step 6: Final answer
    x = 646.77

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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.