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Finding the Fourth Proportional to 646.68, 891.71 and 422.72

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Solution

The fourth proportional to 646.68, 891.71 and 422.72 is: 582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.68 : 891.71 = 422.72 : x
  2. Step 2: Convert to fraction form
    646.68/891.71 = 422.72/x
  3. Step 3: Cross multiply
    646.68x = 891.71 × 422.72
  4. Step 4: Simplify right side
    646.68x = 376,942.01
  5. Step 5: Solve for x
    x = 376,942.01/646.68
  6. Step 6: Final answer
    x = 582.88

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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.