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Finding the Fourth Proportional to 720.14, 1,080.21 and 330.12

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Solution

The fourth proportional to 720.14, 1,080.21 and 330.12 is: 495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.14 : 1,080.21 = 330.12 : x
  2. Step 2: Convert to fraction form
    720.14/1,080.21 = 330.12/x
  3. Step 3: Cross multiply
    720.14x = 1,080.21 × 330.12
  4. Step 4: Simplify right side
    720.14x = 356,598.93
  5. Step 5: Solve for x
    x = 356,598.93/720.14
  6. Step 6: Final answer
    x = 495.18

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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.