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Finding the Fourth Proportional to 671.88, 927.38 and 392.23

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Solution

The fourth proportional to 671.88, 927.38 and 392.23 is: 541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.88 : 927.38 = 392.23 : x
  2. Step 2: Convert to fraction form
    671.88/927.38 = 392.23/x
  3. Step 3: Cross multiply
    671.88x = 927.38 × 392.23
  4. Step 4: Simplify right side
    671.88x = 363,746.26
  5. Step 5: Solve for x
    x = 363,746.26/671.88
  6. Step 6: Final answer
    x = 541.39

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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.