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Finding the Fourth Proportional to 596.08, 821.92 and 522.36

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Solution

The fourth proportional to 596.08, 821.92 and 522.36 is: 720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.08 : 821.92 = 522.36 : x
  2. Step 2: Convert to fraction form
    596.08/821.92 = 522.36/x
  3. Step 3: Cross multiply
    596.08x = 821.92 × 522.36
  4. Step 4: Simplify right side
    596.08x = 429,338.13
  5. Step 5: Solve for x
    x = 429,338.13/596.08
  6. Step 6: Final answer
    x = 720.27

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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.