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Finding the Fourth Proportional to 730, 1,007.40 and 419.50

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Solution

The fourth proportional to 730, 1,007.40 and 419.50 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    730 : 1,007.40 = 419.50 : x
  2. Step 2: Convert to fraction form
    730/1,007.40 = 419.50/x
  3. Step 3: Cross multiply
    730x = 1,007.40 × 419.50
  4. Step 4: Simplify right side
    730x = 422,604.30
  5. Step 5: Solve for x
    x = 422,604.30/730
  6. Step 6: Final answer
    x = 578.91

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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.