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Finding the Fourth Proportional to 398.48, 597.51 and 203.27

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Solution

The fourth proportional to 398.48, 597.51 and 203.27 is: 304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.48 : 597.51 = 203.27 : x
  2. Step 2: Convert to fraction form
    398.48/597.51 = 203.27/x
  3. Step 3: Cross multiply
    398.48x = 597.51 × 203.27
  4. Step 4: Simplify right side
    398.48x = 121,452.87
  5. Step 5: Solve for x
    x = 121,452.87/398.48
  6. Step 6: Final answer
    x = 304.79

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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.