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Finding the Fourth Proportional to 730.48, 1,007.98 and 415.79

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Solution

The fourth proportional to 730.48, 1,007.98 and 415.79 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.48 : 1,007.98 = 415.79 : x
  2. Step 2: Convert to fraction form
    730.48/1,007.98 = 415.79/x
  3. Step 3: Cross multiply
    730.48x = 1,007.98 × 415.79
  4. Step 4: Simplify right side
    730.48x = 419,100.89
  5. Step 5: Solve for x
    x = 419,100.89/730.48
  6. Step 6: Final answer
    x = 573.73

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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.