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Finding the Fourth Proportional to 540.20, 808.72 and 487.96

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Solution

The fourth proportional to 540.20, 808.72 and 487.96 is: 730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.20 : 808.72 = 487.96 : x
  2. Step 2: Convert to fraction form
    540.20/808.72 = 487.96/x
  3. Step 3: Cross multiply
    540.20x = 808.72 × 487.96
  4. Step 4: Simplify right side
    540.20x = 394,619.77
  5. Step 5: Solve for x
    x = 394,619.77/540.20
  6. Step 6: Final answer
    x = 730.50

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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.