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Finding the Fourth Proportional to 398.32, 596.96 and 306.72

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Solution

The fourth proportional to 398.32, 596.96 and 306.72 is: 459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.32 : 596.96 = 306.72 : x
  2. Step 2: Convert to fraction form
    398.32/596.96 = 306.72/x
  3. Step 3: Cross multiply
    398.32x = 596.96 × 306.72
  4. Step 4: Simplify right side
    398.32x = 183,099.57
  5. Step 5: Solve for x
    x = 183,099.57/398.32
  6. Step 6: Final answer
    x = 459.68

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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.