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Finding the Fourth Proportional to 596.17, 823.46 and 577.03

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Solution

The fourth proportional to 596.17, 823.46 and 577.03 is: 797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.17 : 823.46 = 577.03 : x
  2. Step 2: Convert to fraction form
    596.17/823.46 = 577.03/x
  3. Step 3: Cross multiply
    596.17x = 823.46 × 577.03
  4. Step 4: Simplify right side
    596.17x = 475,161.12
  5. Step 5: Solve for x
    x = 475,161.12/596.17
  6. Step 6: Final answer
    x = 797.02

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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.