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Finding the Fourth Proportional to 540.90, 809.46 and 529.02

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Solution

The fourth proportional to 540.90, 809.46 and 529.02 is: 791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.90 : 809.46 = 529.02 : x
  2. Step 2: Convert to fraction form
    540.90/809.46 = 529.02/x
  3. Step 3: Cross multiply
    540.90x = 809.46 × 529.02
  4. Step 4: Simplify right side
    540.90x = 428,220.53
  5. Step 5: Solve for x
    x = 428,220.53/540.90
  6. Step 6: Final answer
    x = 791.68

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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.