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Finding the Fourth Proportional to 720.32, 1,080.30 and 309.92

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Solution

The fourth proportional to 720.32, 1,080.30 and 309.92 is: 464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.32 : 1,080.30 = 309.92 : x
  2. Step 2: Convert to fraction form
    720.32/1,080.30 = 309.92/x
  3. Step 3: Cross multiply
    720.32x = 1,080.30 × 309.92
  4. Step 4: Simplify right side
    720.32x = 334,806.58
  5. Step 5: Solve for x
    x = 334,806.58/720.32
  6. Step 6: Final answer
    x = 464.80

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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.