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Finding the Fourth Proportional to 398.32, 596.63 and 306.34

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Solution

The fourth proportional to 398.32, 596.63 and 306.34 is: 458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.32 : 596.63 = 306.34 : x
  2. Step 2: Convert to fraction form
    398.32/596.63 = 306.34/x
  3. Step 3: Cross multiply
    398.32x = 596.63 × 306.34
  4. Step 4: Simplify right side
    398.32x = 182,770.10
  5. Step 5: Solve for x
    x = 182,770.10/398.32
  6. Step 6: Final answer
    x = 458.85

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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.