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Finding the Fourth Proportional to 596.52, 823.86 and 588.42

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Solution

The fourth proportional to 596.52, 823.86 and 588.42 is: 812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.52 : 823.86 = 588.42 : x
  2. Step 2: Convert to fraction form
    596.52/823.86 = 588.42/x
  3. Step 3: Cross multiply
    596.52x = 823.86 × 588.42
  4. Step 4: Simplify right side
    596.52x = 484,775.70
  5. Step 5: Solve for x
    x = 484,775.70/596.52
  6. Step 6: Final answer
    x = 812.67

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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.