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Finding the Fourth Proportional to 596.25, 821.34 and 567.09

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Solution

The fourth proportional to 596.25, 821.34 and 567.09 is: 781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 821.34 = 567.09 : x
  2. Step 2: Convert to fraction form
    596.25/821.34 = 567.09/x
  3. Step 3: Cross multiply
    596.25x = 821.34 × 567.09
  4. Step 4: Simplify right side
    596.25x = 465,773.70
  5. Step 5: Solve for x
    x = 465,773.70/596.25
  6. Step 6: Final answer
    x = 781.17

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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.