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Finding the Fourth Proportional to 310.13, 467.03 and 270.03

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Solution

The fourth proportional to 310.13, 467.03 and 270.03 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.13 : 467.03 = 270.03 : x
  2. Step 2: Convert to fraction form
    310.13/467.03 = 270.03/x
  3. Step 3: Cross multiply
    310.13x = 467.03 × 270.03
  4. Step 4: Simplify right side
    310.13x = 126,112.11
  5. Step 5: Solve for x
    x = 126,112.11/310.13
  6. Step 6: Final answer
    x = 406.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.