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Finding the Fourth Proportional to 720.46, 1,080.75 and 233.59

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Solution

The fourth proportional to 720.46, 1,080.75 and 233.59 is: 350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.46 : 1,080.75 = 233.59 : x
  2. Step 2: Convert to fraction form
    720.46/1,080.75 = 233.59/x
  3. Step 3: Cross multiply
    720.46x = 1,080.75 × 233.59
  4. Step 4: Simplify right side
    720.46x = 252,452.39
  5. Step 5: Solve for x
    x = 252,452.39/720.46
  6. Step 6: Final answer
    x = 350.40

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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.