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Finding the Fourth Proportional to 540.80, 744.35 and 461.85

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Solution

The fourth proportional to 540.80, 744.35 and 461.85 is: 635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 744.35 = 461.85 : x
  2. Step 2: Convert to fraction form
    540.80/744.35 = 461.85/x
  3. Step 3: Cross multiply
    540.80x = 744.35 × 461.85
  4. Step 4: Simplify right side
    540.80x = 343,772.02
  5. Step 5: Solve for x
    x = 343,772.02/540.80
  6. Step 6: Final answer
    x = 635.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.