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Finding the Fourth Proportional to 672.21, 925.61 and 596.43

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Solution

The fourth proportional to 672.21, 925.61 and 596.43 is: 821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.21 : 925.61 = 596.43 : x
  2. Step 2: Convert to fraction form
    672.21/925.61 = 596.43/x
  3. Step 3: Cross multiply
    672.21x = 925.61 × 596.43
  4. Step 4: Simplify right side
    672.21x = 552,053.96
  5. Step 5: Solve for x
    x = 552,053.96/672.21
  6. Step 6: Final answer
    x = 821.26

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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.