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Finding the Fourth Proportional to 363.04, 544.56 and 266.56

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Solution

The fourth proportional to 363.04, 544.56 and 266.56 is: 399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.04 : 544.56 = 266.56 : x
  2. Step 2: Convert to fraction form
    363.04/544.56 = 266.56/x
  3. Step 3: Cross multiply
    363.04x = 544.56 × 266.56
  4. Step 4: Simplify right side
    363.04x = 145,157.91
  5. Step 5: Solve for x
    x = 145,157.91/363.04
  6. Step 6: Final answer
    x = 399.84

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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.