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Finding the Fourth Proportional to 337.25, 462.84 and 328.14

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Solution

The fourth proportional to 337.25, 462.84 and 328.14 is: 450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 462.84 = 328.14 : x
  2. Step 2: Convert to fraction form
    337.25/462.84 = 328.14/x
  3. Step 3: Cross multiply
    337.25x = 462.84 × 328.14
  4. Step 4: Simplify right side
    337.25x = 151,876.32
  5. Step 5: Solve for x
    x = 151,876.32/337.25
  6. Step 6: Final answer
    x = 450.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.