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Finding the Fourth Proportional to 671.30, 926.43 and 505.22

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Solution

The fourth proportional to 671.30, 926.43 and 505.22 is: 697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.30 : 926.43 = 505.22 : x
  2. Step 2: Convert to fraction form
    671.30/926.43 = 505.22/x
  3. Step 3: Cross multiply
    671.30x = 926.43 × 505.22
  4. Step 4: Simplify right side
    671.30x = 468,046.33
  5. Step 5: Solve for x
    x = 468,046.33/671.30
  6. Step 6: Final answer
    x = 697.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.