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Finding the Fourth Proportional to 730.33, 1,095.28 and 297.38

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Solution

The fourth proportional to 730.33, 1,095.28 and 297.38 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.33 : 1,095.28 = 297.38 : x
  2. Step 2: Convert to fraction form
    730.33/1,095.28 = 297.38/x
  3. Step 3: Cross multiply
    730.33x = 1,095.28 × 297.38
  4. Step 4: Simplify right side
    730.33x = 325,714.37
  5. Step 5: Solve for x
    x = 325,714.37/730.33
  6. Step 6: Final answer
    x = 445.98

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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.