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Finding the Fourth Proportional to 596.90, 823.89 and 397.76

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Solution

The fourth proportional to 596.90, 823.89 and 397.76 is: 549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 823.89 = 397.76 : x
  2. Step 2: Convert to fraction form
    596.90/823.89 = 397.76/x
  3. Step 3: Cross multiply
    596.90x = 823.89 × 397.76
  4. Step 4: Simplify right side
    596.90x = 327,706.37
  5. Step 5: Solve for x
    x = 327,706.37/596.90
  6. Step 6: Final answer
    x = 549.02

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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.