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Finding the Fourth Proportional to 671.85, 927.18 and 423.05

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Solution

The fourth proportional to 671.85, 927.18 and 423.05 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.85 : 927.18 = 423.05 : x
  2. Step 2: Convert to fraction form
    671.85/927.18 = 423.05/x
  3. Step 3: Cross multiply
    671.85x = 927.18 × 423.05
  4. Step 4: Simplify right side
    671.85x = 392,238.86
  5. Step 5: Solve for x
    x = 392,238.86/671.85
  6. Step 6: Final answer
    x = 583.82

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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.