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Finding the Fourth Proportional to 397.14, 596.10 and 294.12

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Solution

The fourth proportional to 397.14, 596.10 and 294.12 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.14 : 596.10 = 294.12 : x
  2. Step 2: Convert to fraction form
    397.14/596.10 = 294.12/x
  3. Step 3: Cross multiply
    397.14x = 596.10 × 294.12
  4. Step 4: Simplify right side
    397.14x = 175,324.93
  5. Step 5: Solve for x
    x = 175,324.93/397.14
  6. Step 6: Final answer
    x = 441.47

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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.