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Finding the Fourth Proportional to 672.71, 927.89 and 423.82

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Solution

The fourth proportional to 672.71, 927.89 and 423.82 is: 584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.71 : 927.89 = 423.82 : x
  2. Step 2: Convert to fraction form
    672.71/927.89 = 423.82/x
  3. Step 3: Cross multiply
    672.71x = 927.89 × 423.82
  4. Step 4: Simplify right side
    672.71x = 393,258.34
  5. Step 5: Solve for x
    x = 393,258.34/672.71
  6. Step 6: Final answer
    x = 584.59

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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.