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Finding the Fourth Proportional to 597.53, 892.21 and 535.43

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Solution

The fourth proportional to 597.53, 892.21 and 535.43 is: 799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.53 : 892.21 = 535.43 : x
  2. Step 2: Convert to fraction form
    597.53/892.21 = 535.43/x
  3. Step 3: Cross multiply
    597.53x = 892.21 × 535.43
  4. Step 4: Simplify right side
    597.53x = 477,716.00
  5. Step 5: Solve for x
    x = 477,716.00/597.53
  6. Step 6: Final answer
    x = 799.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.