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Finding the Fourth Proportional to 596.89, 822.35 and 446.86

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Solution

The fourth proportional to 596.89, 822.35 and 446.86 is: 615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.89 : 822.35 = 446.86 : x
  2. Step 2: Convert to fraction form
    596.89/822.35 = 446.86/x
  3. Step 3: Cross multiply
    596.89x = 822.35 × 446.86
  4. Step 4: Simplify right side
    596.89x = 367,473.09
  5. Step 5: Solve for x
    x = 367,473.09/596.89
  6. Step 6: Final answer
    x = 615.65

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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.