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Finding the Fourth Proportional to 596.68, 823.70 and 397.85

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Solution

The fourth proportional to 596.68, 823.70 and 397.85 is: 549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 823.70 = 397.85 : x
  2. Step 2: Convert to fraction form
    596.68/823.70 = 397.85/x
  3. Step 3: Cross multiply
    596.68x = 823.70 × 397.85
  4. Step 4: Simplify right side
    596.68x = 327,705.92
  5. Step 5: Solve for x
    x = 327,705.92/596.68
  6. Step 6: Final answer
    x = 549.22

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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.