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Finding the Fourth Proportional to 542.14, 814.02 and 523.24

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Solution

The fourth proportional to 542.14, 814.02 and 523.24 is: 785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 814.02 = 523.24 : x
  2. Step 2: Convert to fraction form
    542.14/814.02 = 523.24/x
  3. Step 3: Cross multiply
    542.14x = 814.02 × 523.24
  4. Step 4: Simplify right side
    542.14x = 425,926.52
  5. Step 5: Solve for x
    x = 425,926.52/542.14
  6. Step 6: Final answer
    x = 785.64

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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.