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Finding the Fourth Proportional to 720.18, 1,080.33 and 309.22

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Solution

The fourth proportional to 720.18, 1,080.33 and 309.22 is: 463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.18 : 1,080.33 = 309.22 : x
  2. Step 2: Convert to fraction form
    720.18/1,080.33 = 309.22/x
  3. Step 3: Cross multiply
    720.18x = 1,080.33 × 309.22
  4. Step 4: Simplify right side
    720.18x = 334,059.64
  5. Step 5: Solve for x
    x = 334,059.64/720.18
  6. Step 6: Final answer
    x = 463.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.