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Finding the Fourth Proportional to 397.56, 596.40 and 269.40

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Solution

The fourth proportional to 397.56, 596.40 and 269.40 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 596.40 = 269.40 : x
  2. Step 2: Convert to fraction form
    397.56/596.40 = 269.40/x
  3. Step 3: Cross multiply
    397.56x = 596.40 × 269.40
  4. Step 4: Simplify right side
    397.56x = 160,670.16
  5. Step 5: Solve for x
    x = 160,670.16/397.56
  6. Step 6: Final answer
    x = 404.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.