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Finding the Fourth Proportional to 596.85, 824.02 and 534.57

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Solution

The fourth proportional to 596.85, 824.02 and 534.57 is: 738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.85 : 824.02 = 534.57 : x
  2. Step 2: Convert to fraction form
    596.85/824.02 = 534.57/x
  3. Step 3: Cross multiply
    596.85x = 824.02 × 534.57
  4. Step 4: Simplify right side
    596.85x = 440,491.94
  5. Step 5: Solve for x
    x = 440,491.94/596.85
  6. Step 6: Final answer
    x = 738.03

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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.