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Finding the Fourth Proportional to 730.03, 1,095.17 and 268.45

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Solution

The fourth proportional to 730.03, 1,095.17 and 268.45 is: 402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.03 : 1,095.17 = 268.45 : x
  2. Step 2: Convert to fraction form
    730.03/1,095.17 = 268.45/x
  3. Step 3: Cross multiply
    730.03x = 1,095.17 × 268.45
  4. Step 4: Simplify right side
    730.03x = 293,998.39
  5. Step 5: Solve for x
    x = 293,998.39/730.03
  6. Step 6: Final answer
    x = 402.72

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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.