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Finding the Fourth Proportional to 596.87, 822.40 and 428.69

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Solution

The fourth proportional to 596.87, 822.40 and 428.69 is: 590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.87 : 822.40 = 428.69 : x
  2. Step 2: Convert to fraction form
    596.87/822.40 = 428.69/x
  3. Step 3: Cross multiply
    596.87x = 822.40 × 428.69
  4. Step 4: Simplify right side
    596.87x = 352,552.85
  5. Step 5: Solve for x
    x = 352,552.85/596.87
  6. Step 6: Final answer
    x = 590.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.