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Finding the Fourth Proportional to 397.83, 596.11 and 294.87

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Solution

The fourth proportional to 397.83, 596.11 and 294.87 is: 441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 596.11 = 294.87 : x
  2. Step 2: Convert to fraction form
    397.83/596.11 = 294.87/x
  3. Step 3: Cross multiply
    397.83x = 596.11 × 294.87
  4. Step 4: Simplify right side
    397.83x = 175,774.96
  5. Step 5: Solve for x
    x = 175,774.96/397.83
  6. Step 6: Final answer
    x = 441.83

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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.