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Finding the Fourth Proportional to 540.26, 809.59 and 309.22

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Solution

The fourth proportional to 540.26, 809.59 and 309.22 is: 463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.26 : 809.59 = 309.22 : x
  2. Step 2: Convert to fraction form
    540.26/809.59 = 309.22/x
  3. Step 3: Cross multiply
    540.26x = 809.59 × 309.22
  4. Step 4: Simplify right side
    540.26x = 250,341.42
  5. Step 5: Solve for x
    x = 250,341.42/540.26
  6. Step 6: Final answer
    x = 463.37

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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.