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Finding the Fourth Proportional to 540.10, 809.07 and 485.47

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Solution

The fourth proportional to 540.10, 809.07 and 485.47 is: 727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.10 : 809.07 = 485.47 : x
  2. Step 2: Convert to fraction form
    540.10/809.07 = 485.47/x
  3. Step 3: Cross multiply
    540.10x = 809.07 × 485.47
  4. Step 4: Simplify right side
    540.10x = 392,779.21
  5. Step 5: Solve for x
    x = 392,779.21/540.10
  6. Step 6: Final answer
    x = 727.23

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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.