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Finding the Fourth Proportional to 542.58, 814.54 and 427.42

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Solution

The fourth proportional to 542.58, 814.54 and 427.42 is: 641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.58 : 814.54 = 427.42 : x
  2. Step 2: Convert to fraction form
    542.58/814.54 = 427.42/x
  3. Step 3: Cross multiply
    542.58x = 814.54 × 427.42
  4. Step 4: Simplify right side
    542.58x = 348,150.69
  5. Step 5: Solve for x
    x = 348,150.69/542.58
  6. Step 6: Final answer
    x = 641.66

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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.