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Finding the Fourth Proportional to 540.66, 810.91 and 308.80

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Solution

The fourth proportional to 540.66, 810.91 and 308.80 is: 463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 810.91 = 308.80 : x
  2. Step 2: Convert to fraction form
    540.66/810.91 = 308.80/x
  3. Step 3: Cross multiply
    540.66x = 810.91 × 308.80
  4. Step 4: Simplify right side
    540.66x = 250,404.57
  5. Step 5: Solve for x
    x = 250,404.57/540.66
  6. Step 6: Final answer
    x = 463.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.