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Finding the Fourth Proportional to 730.48, 1,095.86 and 359.91

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Solution

The fourth proportional to 730.48, 1,095.86 and 359.91 is: 539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.48 : 1,095.86 = 359.91 : x
  2. Step 2: Convert to fraction form
    730.48/1,095.86 = 359.91/x
  3. Step 3: Cross multiply
    730.48x = 1,095.86 × 359.91
  4. Step 4: Simplify right side
    730.48x = 394,410.97
  5. Step 5: Solve for x
    x = 394,410.97/730.48
  6. Step 6: Final answer
    x = 539.93

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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.