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Finding the Fourth Proportional to 542.79, 813.85 and 299.49

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Solution

The fourth proportional to 542.79, 813.85 and 299.49 is: 449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.79 : 813.85 = 299.49 : x
  2. Step 2: Convert to fraction form
    542.79/813.85 = 299.49/x
  3. Step 3: Cross multiply
    542.79x = 813.85 × 299.49
  4. Step 4: Simplify right side
    542.79x = 243,739.94
  5. Step 5: Solve for x
    x = 243,739.94/542.79
  6. Step 6: Final answer
    x = 449.05

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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.