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Finding the Fourth Proportional to 730.09, 1,095.30 and 243.16

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Solution

The fourth proportional to 730.09, 1,095.30 and 243.16 is: 364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.09 : 1,095.30 = 243.16 : x
  2. Step 2: Convert to fraction form
    730.09/1,095.30 = 243.16/x
  3. Step 3: Cross multiply
    730.09x = 1,095.30 × 243.16
  4. Step 4: Simplify right side
    730.09x = 266,326.46
  5. Step 5: Solve for x
    x = 266,326.46/730.09
  6. Step 6: Final answer
    x = 364.79

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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.