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Finding the Fourth Proportional to 596.48, 822.12 and 484.64

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Solution

The fourth proportional to 596.48, 822.12 and 484.64 is: 667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.48 : 822.12 = 484.64 : x
  2. Step 2: Convert to fraction form
    596.48/822.12 = 484.64/x
  3. Step 3: Cross multiply
    596.48x = 822.12 × 484.64
  4. Step 4: Simplify right side
    596.48x = 398,432.24
  5. Step 5: Solve for x
    x = 398,432.24/596.48
  6. Step 6: Final answer
    x = 667.97

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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.