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Finding the Fourth Proportional to 335.30, 461.75 and 328.10

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Solution

The fourth proportional to 335.30, 461.75 and 328.10 is: 451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.30 : 461.75 = 328.10 : x
  2. Step 2: Convert to fraction form
    335.30/461.75 = 328.10/x
  3. Step 3: Cross multiply
    335.30x = 461.75 × 328.10
  4. Step 4: Simplify right side
    335.30x = 151,496.23
  5. Step 5: Solve for x
    x = 151,496.23/335.30
  6. Step 6: Final answer
    x = 451.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.