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Finding the Fourth Proportional to 730.61, 1,095.22 and 243.32

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Solution

The fourth proportional to 730.61, 1,095.22 and 243.32 is: 364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.61 : 1,095.22 = 243.32 : x
  2. Step 2: Convert to fraction form
    730.61/1,095.22 = 243.32/x
  3. Step 3: Cross multiply
    730.61x = 1,095.22 × 243.32
  4. Step 4: Simplify right side
    730.61x = 266,485.30
  5. Step 5: Solve for x
    x = 266,485.30/730.61
  6. Step 6: Final answer
    x = 364.74

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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.