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Finding the Fourth Proportional to 596.30, 820.94 and 518.67

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Solution

The fourth proportional to 596.30, 820.94 and 518.67 is: 714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 820.94 = 518.67 : x
  2. Step 2: Convert to fraction form
    596.30/820.94 = 518.67/x
  3. Step 3: Cross multiply
    596.30x = 820.94 × 518.67
  4. Step 4: Simplify right side
    596.30x = 425,794.36
  5. Step 5: Solve for x
    x = 425,794.36/596.30
  6. Step 6: Final answer
    x = 714.07

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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.