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Finding the Fourth Proportional to 540.71, 810.43 and 309.76

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Solution

The fourth proportional to 540.71, 810.43 and 309.76 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.71 : 810.43 = 309.76 : x
  2. Step 2: Convert to fraction form
    540.71/810.43 = 309.76/x
  3. Step 3: Cross multiply
    540.71x = 810.43 × 309.76
  4. Step 4: Simplify right side
    540.71x = 251,040.55
  5. Step 5: Solve for x
    x = 251,040.55/540.71
  6. Step 6: Final answer
    x = 464.28

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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.