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Finding the Fourth Proportional to 730.24, 1,007.78 and 419.76

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Solution

The fourth proportional to 730.24, 1,007.78 and 419.76 is: 579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.24 : 1,007.78 = 419.76 : x
  2. Step 2: Convert to fraction form
    730.24/1,007.78 = 419.76/x
  3. Step 3: Cross multiply
    730.24x = 1,007.78 × 419.76
  4. Step 4: Simplify right side
    730.24x = 423,025.73
  5. Step 5: Solve for x
    x = 423,025.73/730.24
  6. Step 6: Final answer
    x = 579.30

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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.