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Finding the Fourth Proportional to 540.36, 809.64 and 375.89

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Solution

The fourth proportional to 540.36, 809.64 and 375.89 is: 563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.36 : 809.64 = 375.89 : x
  2. Step 2: Convert to fraction form
    540.36/809.64 = 375.89/x
  3. Step 3: Cross multiply
    540.36x = 809.64 × 375.89
  4. Step 4: Simplify right side
    540.36x = 304,331.53
  5. Step 5: Solve for x
    x = 304,331.53/540.36
  6. Step 6: Final answer
    x = 563.20

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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.