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Finding the Fourth Proportional to 689.72, 951.35 and 468.59

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Solution

The fourth proportional to 689.72, 951.35 and 468.59 is: 646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.72 : 951.35 = 468.59 : x
  2. Step 2: Convert to fraction form
    689.72/951.35 = 468.59/x
  3. Step 3: Cross multiply
    689.72x = 951.35 × 468.59
  4. Step 4: Simplify right side
    689.72x = 445,786.00
  5. Step 5: Solve for x
    x = 445,786.00/689.72
  6. Step 6: Final answer
    x = 646.33

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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.