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Finding the Fourth Proportional to 475.20, 713.09 and 365.09

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Solution

The fourth proportional to 475.20, 713.09 and 365.09 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 713.09 = 365.09 : x
  2. Step 2: Convert to fraction form
    475.20/713.09 = 365.09/x
  3. Step 3: Cross multiply
    475.20x = 713.09 × 365.09
  4. Step 4: Simplify right side
    475.20x = 260,339.38
  5. Step 5: Solve for x
    x = 260,339.38/475.20
  6. Step 6: Final answer
    x = 547.85

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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.