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Finding the Fourth Proportional to 727.12, 1,090.72 and 294.24

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Solution

The fourth proportional to 727.12, 1,090.72 and 294.24 is: 441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.12 : 1,090.72 = 294.24 : x
  2. Step 2: Convert to fraction form
    727.12/1,090.72 = 294.24/x
  3. Step 3: Cross multiply
    727.12x = 1,090.72 × 294.24
  4. Step 4: Simplify right side
    727.12x = 320,933.45
  5. Step 5: Solve for x
    x = 320,933.45/727.12
  6. Step 6: Final answer
    x = 441.38

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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.