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Finding the Fourth Proportional to 398.07, 596.25 and 306.09

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Solution

The fourth proportional to 398.07, 596.25 and 306.09 is: 458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.07 : 596.25 = 306.09 : x
  2. Step 2: Convert to fraction form
    398.07/596.25 = 306.09/x
  3. Step 3: Cross multiply
    398.07x = 596.25 × 306.09
  4. Step 4: Simplify right side
    398.07x = 182,506.16
  5. Step 5: Solve for x
    x = 182,506.16/398.07
  6. Step 6: Final answer
    x = 458.48

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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.