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Finding the Fourth Proportional to 671.88, 926.92 and 419.67

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Solution

The fourth proportional to 671.88, 926.92 and 419.67 is: 578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.88 : 926.92 = 419.67 : x
  2. Step 2: Convert to fraction form
    671.88/926.92 = 419.67/x
  3. Step 3: Cross multiply
    671.88x = 926.92 × 419.67
  4. Step 4: Simplify right side
    671.88x = 389,001.04
  5. Step 5: Solve for x
    x = 389,001.04/671.88
  6. Step 6: Final answer
    x = 578.97

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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.