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Finding the Fourth Proportional to 671.64, 927.12 and 423.42

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Solution

The fourth proportional to 671.64, 927.12 and 423.42 is: 584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.64 : 927.12 = 423.42 : x
  2. Step 2: Convert to fraction form
    671.64/927.12 = 423.42/x
  3. Step 3: Cross multiply
    671.64x = 927.12 × 423.42
  4. Step 4: Simplify right side
    671.64x = 392,561.15
  5. Step 5: Solve for x
    x = 392,561.15/671.64
  6. Step 6: Final answer
    x = 584.48

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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.