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Finding the Fourth Proportional to 730.08, 1,095.26 and 243.47

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Solution

The fourth proportional to 730.08, 1,095.26 and 243.47 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.08 : 1,095.26 = 243.47 : x
  2. Step 2: Convert to fraction form
    730.08/1,095.26 = 243.47/x
  3. Step 3: Cross multiply
    730.08x = 1,095.26 × 243.47
  4. Step 4: Simplify right side
    730.08x = 266,664.47
  5. Step 5: Solve for x
    x = 266,664.47/730.08
  6. Step 6: Final answer
    x = 365.25

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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.