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Finding the Fourth Proportional to 468.57, 646.82 and 419.97

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Solution

The fourth proportional to 468.57, 646.82 and 419.97 is: 579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.57 : 646.82 = 419.97 : x
  2. Step 2: Convert to fraction form
    468.57/646.82 = 419.97/x
  3. Step 3: Cross multiply
    468.57x = 646.82 × 419.97
  4. Step 4: Simplify right side
    468.57x = 271,645.00
  5. Step 5: Solve for x
    x = 271,645.00/468.57
  6. Step 6: Final answer
    x = 579.73

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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.