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Finding the Fourth Proportional to 542.67, 814.23 and 299.18

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Solution

The fourth proportional to 542.67, 814.23 and 299.18 is: 448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.67 : 814.23 = 299.18 : x
  2. Step 2: Convert to fraction form
    542.67/814.23 = 299.18/x
  3. Step 3: Cross multiply
    542.67x = 814.23 × 299.18
  4. Step 4: Simplify right side
    542.67x = 243,597.26
  5. Step 5: Solve for x
    x = 243,597.26/542.67
  6. Step 6: Final answer
    x = 448.89

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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.