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Finding the Fourth Proportional to 398.21, 596.75 and 300.29

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Solution

The fourth proportional to 398.21, 596.75 and 300.29 is: 450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.21 : 596.75 = 300.29 : x
  2. Step 2: Convert to fraction form
    398.21/596.75 = 300.29/x
  3. Step 3: Cross multiply
    398.21x = 596.75 × 300.29
  4. Step 4: Simplify right side
    398.21x = 179,193.57
  5. Step 5: Solve for x
    x = 179,193.57/398.21
  6. Step 6: Final answer
    x = 450.00

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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.