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Finding the Fourth Proportional to 540.20, 745.71 and 365.65

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Solution

The fourth proportional to 540.20, 745.71 and 365.65 is: 504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.20 : 745.71 = 365.65 : x
  2. Step 2: Convert to fraction form
    540.20/745.71 = 365.65/x
  3. Step 3: Cross multiply
    540.20x = 745.71 × 365.65
  4. Step 4: Simplify right side
    540.20x = 272,665.63
  5. Step 5: Solve for x
    x = 272,665.63/540.20
  6. Step 6: Final answer
    x = 504.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.