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Finding the Fourth Proportional to 730.38, 1,095.15 and 261.62

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Solution

The fourth proportional to 730.38, 1,095.15 and 261.62 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.38 : 1,095.15 = 261.62 : x
  2. Step 2: Convert to fraction form
    730.38/1,095.15 = 261.62/x
  3. Step 3: Cross multiply
    730.38x = 1,095.15 × 261.62
  4. Step 4: Simplify right side
    730.38x = 286,513.14
  5. Step 5: Solve for x
    x = 286,513.14/730.38
  6. Step 6: Final answer
    x = 392.28

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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.