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Finding the Fourth Proportional to 596.24, 820.60 and 421.28

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Solution

The fourth proportional to 596.24, 820.60 and 421.28 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 820.60 = 421.28 : x
  2. Step 2: Convert to fraction form
    596.24/820.60 = 421.28/x
  3. Step 3: Cross multiply
    596.24x = 820.60 × 421.28
  4. Step 4: Simplify right side
    596.24x = 345,702.37
  5. Step 5: Solve for x
    x = 345,702.37/596.24
  6. Step 6: Final answer
    x = 579.80

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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.