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Finding the Fourth Proportional to 540.41, 810.62 and 514.18

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Solution

The fourth proportional to 540.41, 810.62 and 514.18 is: 771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.41 : 810.62 = 514.18 : x
  2. Step 2: Convert to fraction form
    540.41/810.62 = 514.18/x
  3. Step 3: Cross multiply
    540.41x = 810.62 × 514.18
  4. Step 4: Simplify right side
    540.41x = 416,802.02
  5. Step 5: Solve for x
    x = 416,802.02/540.41
  6. Step 6: Final answer
    x = 771.27

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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.