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Finding the Fourth Proportional to 730.20, 1,095.90 and 268.13

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Solution

The fourth proportional to 730.20, 1,095.90 and 268.13 is: 402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.20 : 1,095.90 = 268.13 : x
  2. Step 2: Convert to fraction form
    730.20/1,095.90 = 268.13/x
  3. Step 3: Cross multiply
    730.20x = 1,095.90 × 268.13
  4. Step 4: Simplify right side
    730.20x = 293,845.40
  5. Step 5: Solve for x
    x = 293,845.40/730.20
  6. Step 6: Final answer
    x = 402.42

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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.