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Finding the Fourth Proportional to 540.96, 811.08 and 294.42

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Solution

The fourth proportional to 540.96, 811.08 and 294.42 is: 441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 811.08 = 294.42 : x
  2. Step 2: Convert to fraction form
    540.96/811.08 = 294.42/x
  3. Step 3: Cross multiply
    540.96x = 811.08 × 294.42
  4. Step 4: Simplify right side
    540.96x = 238,798.17
  5. Step 5: Solve for x
    x = 238,798.17/540.96
  6. Step 6: Final answer
    x = 441.43

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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.