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Finding the Fourth Proportional to 542.14, 811.91 and 310.33

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Solution

The fourth proportional to 542.14, 811.91 and 310.33 is: 464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 811.91 = 310.33 : x
  2. Step 2: Convert to fraction form
    542.14/811.91 = 310.33/x
  3. Step 3: Cross multiply
    542.14x = 811.91 × 310.33
  4. Step 4: Simplify right side
    542.14x = 251,958.99
  5. Step 5: Solve for x
    x = 251,958.99/542.14
  6. Step 6: Final answer
    x = 464.75

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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.