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Finding the Fourth Proportional to 730.33, 1,007.30 and 464.82

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Solution

The fourth proportional to 730.33, 1,007.30 and 464.82 is: 641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.33 : 1,007.30 = 464.82 : x
  2. Step 2: Convert to fraction form
    730.33/1,007.30 = 464.82/x
  3. Step 3: Cross multiply
    730.33x = 1,007.30 × 464.82
  4. Step 4: Simplify right side
    730.33x = 468,207.96
  5. Step 5: Solve for x
    x = 468,207.96/730.33
  6. Step 6: Final answer
    x = 641.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.