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Finding the Fourth Proportional to 596.57, 823.14 and 420.06

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Solution

The fourth proportional to 596.57, 823.14 and 420.06 is: 579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 823.14 = 420.06 : x
  2. Step 2: Convert to fraction form
    596.57/823.14 = 420.06/x
  3. Step 3: Cross multiply
    596.57x = 823.14 × 420.06
  4. Step 4: Simplify right side
    596.57x = 345,768.19
  5. Step 5: Solve for x
    x = 345,768.19/596.57
  6. Step 6: Final answer
    x = 579.60

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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.