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Finding the Fourth Proportional to 397.60, 595.96 and 299.78

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Solution

The fourth proportional to 397.60, 595.96 and 299.78 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.60 : 595.96 = 299.78 : x
  2. Step 2: Convert to fraction form
    397.60/595.96 = 299.78/x
  3. Step 3: Cross multiply
    397.60x = 595.96 × 299.78
  4. Step 4: Simplify right side
    397.60x = 178,658.20
  5. Step 5: Solve for x
    x = 178,658.20/397.60
  6. Step 6: Final answer
    x = 449.35

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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.