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Finding the Fourth Proportional to 730.86, 1,095.93 and 268.31

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Solution

The fourth proportional to 730.86, 1,095.93 and 268.31 is: 402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.86 : 1,095.93 = 268.31 : x
  2. Step 2: Convert to fraction form
    730.86/1,095.93 = 268.31/x
  3. Step 3: Cross multiply
    730.86x = 1,095.93 × 268.31
  4. Step 4: Simplify right side
    730.86x = 294,043.50
  5. Step 5: Solve for x
    x = 294,043.50/730.86
  6. Step 6: Final answer
    x = 402.33

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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.