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Finding the Fourth Proportional to 596.25, 823.05 and 389.25

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Solution

The fourth proportional to 596.25, 823.05 and 389.25 is: 537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 823.05 = 389.25 : x
  2. Step 2: Convert to fraction form
    596.25/823.05 = 389.25/x
  3. Step 3: Cross multiply
    596.25x = 823.05 × 389.25
  4. Step 4: Simplify right side
    596.25x = 320,372.21
  5. Step 5: Solve for x
    x = 320,372.21/596.25
  6. Step 6: Final answer
    x = 537.31

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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.