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Finding the Fourth Proportional to 397.92, 596.40 and 306.96

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Solution

The fourth proportional to 397.92, 596.40 and 306.96 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.92 : 596.40 = 306.96 : x
  2. Step 2: Convert to fraction form
    397.92/596.40 = 306.96/x
  3. Step 3: Cross multiply
    397.92x = 596.40 × 306.96
  4. Step 4: Simplify right side
    397.92x = 183,070.94
  5. Step 5: Solve for x
    x = 183,070.94/397.92
  6. Step 6: Final answer
    x = 460.07

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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.