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Finding the Fourth Proportional to 398.26, 597.36 and 203.14

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Solution

The fourth proportional to 398.26, 597.36 and 203.14 is: 304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.26 : 597.36 = 203.14 : x
  2. Step 2: Convert to fraction form
    398.26/597.36 = 203.14/x
  3. Step 3: Cross multiply
    398.26x = 597.36 × 203.14
  4. Step 4: Simplify right side
    398.26x = 121,348.46
  5. Step 5: Solve for x
    x = 121,348.46/398.26
  6. Step 6: Final answer
    x = 304.70

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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.