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Finding the Fourth Proportional to 540.26, 810.39 and 309.38

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Solution

The fourth proportional to 540.26, 810.39 and 309.38 is: 464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.26 : 810.39 = 309.38 : x
  2. Step 2: Convert to fraction form
    540.26/810.39 = 309.38/x
  3. Step 3: Cross multiply
    540.26x = 810.39 × 309.38
  4. Step 4: Simplify right side
    540.26x = 250,718.46
  5. Step 5: Solve for x
    x = 250,718.46/540.26
  6. Step 6: Final answer
    x = 464.07

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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.