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Finding the Fourth Proportional to 596.82, 890.20 and 578.60

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Solution

The fourth proportional to 596.82, 890.20 and 578.60 is: 863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 890.20 = 578.60 : x
  2. Step 2: Convert to fraction form
    596.82/890.20 = 578.60/x
  3. Step 3: Cross multiply
    596.82x = 890.20 × 578.60
  4. Step 4: Simplify right side
    596.82x = 515,069.72
  5. Step 5: Solve for x
    x = 515,069.72/596.82
  6. Step 6: Final answer
    x = 863.02

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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.