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Finding the Fourth Proportional to 730.38, 1,007.42 and 464.70

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Solution

The fourth proportional to 730.38, 1,007.42 and 464.70 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.38 : 1,007.42 = 464.70 : x
  2. Step 2: Convert to fraction form
    730.38/1,007.42 = 464.70/x
  3. Step 3: Cross multiply
    730.38x = 1,007.42 × 464.70
  4. Step 4: Simplify right side
    730.38x = 468,148.07
  5. Step 5: Solve for x
    x = 468,148.07/730.38
  6. Step 6: Final answer
    x = 640.97

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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.