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Finding the Fourth Proportional to 519.10, 777.40 and 299.06

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Solution

The fourth proportional to 519.10, 777.40 and 299.06 is: 447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 777.40 = 299.06 : x
  2. Step 2: Convert to fraction form
    519.10/777.40 = 299.06/x
  3. Step 3: Cross multiply
    519.10x = 777.40 × 299.06
  4. Step 4: Simplify right side
    519.10x = 232,489.24
  5. Step 5: Solve for x
    x = 232,489.24/519.10
  6. Step 6: Final answer
    x = 447.87

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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.