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Finding the Fourth Proportional to 540.80, 809.40 and 497.60

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Solution

The fourth proportional to 540.80, 809.40 and 497.60 is: 744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 809.40 = 497.60 : x
  2. Step 2: Convert to fraction form
    540.80/809.40 = 497.60/x
  3. Step 3: Cross multiply
    540.80x = 809.40 × 497.60
  4. Step 4: Simplify right side
    540.80x = 402,757.44
  5. Step 5: Solve for x
    x = 402,757.44/540.80
  6. Step 6: Final answer
    x = 744.74

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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.