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Finding the Fourth Proportional to 540.02, 809.55 and 320.11

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Solution

The fourth proportional to 540.02, 809.55 and 320.11 is: 479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.02 : 809.55 = 320.11 : x
  2. Step 2: Convert to fraction form
    540.02/809.55 = 320.11/x
  3. Step 3: Cross multiply
    540.02x = 809.55 × 320.11
  4. Step 4: Simplify right side
    540.02x = 259,143.03
  5. Step 5: Solve for x
    x = 259,143.03/540.02
  6. Step 6: Final answer
    x = 479.87

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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.