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Finding the Fourth Proportional to 589.21, 883.09 and 345.22

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Solution

The fourth proportional to 589.21, 883.09 and 345.22 is: 517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.21 : 883.09 = 345.22 : x
  2. Step 2: Convert to fraction form
    589.21/883.09 = 345.22/x
  3. Step 3: Cross multiply
    589.21x = 883.09 × 345.22
  4. Step 4: Simplify right side
    589.21x = 304,860.33
  5. Step 5: Solve for x
    x = 304,860.33/589.21
  6. Step 6: Final answer
    x = 517.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.