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Finding the Fourth Proportional to 542.95, 814.44 and 299.54

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Solution

The fourth proportional to 542.95, 814.44 and 299.54 is: 449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.95 : 814.44 = 299.54 : x
  2. Step 2: Convert to fraction form
    542.95/814.44 = 299.54/x
  3. Step 3: Cross multiply
    542.95x = 814.44 × 299.54
  4. Step 4: Simplify right side
    542.95x = 243,957.36
  5. Step 5: Solve for x
    x = 243,957.36/542.95
  6. Step 6: Final answer
    x = 449.32

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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.