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Finding the Fourth Proportional to 596.03, 820.65 and 541.36

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Solution

The fourth proportional to 596.03, 820.65 and 541.36 is: 745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.03 : 820.65 = 541.36 : x
  2. Step 2: Convert to fraction form
    596.03/820.65 = 541.36/x
  3. Step 3: Cross multiply
    596.03x = 820.65 × 541.36
  4. Step 4: Simplify right side
    596.03x = 444,265.03
  5. Step 5: Solve for x
    x = 444,265.03/596.03
  6. Step 6: Final answer
    x = 745.37

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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.