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Finding the Fourth Proportional to 730.42, 1,007.88 and 419.92

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Solution

The fourth proportional to 730.42, 1,007.88 and 419.92 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.42 : 1,007.88 = 419.92 : x
  2. Step 2: Convert to fraction form
    730.42/1,007.88 = 419.92/x
  3. Step 3: Cross multiply
    730.42x = 1,007.88 × 419.92
  4. Step 4: Simplify right side
    730.42x = 423,228.97
  5. Step 5: Solve for x
    x = 423,228.97/730.42
  6. Step 6: Final answer
    x = 579.43

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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.