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Finding the Fourth Proportional to 419.97, 579.59 and 233.52

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Solution

The fourth proportional to 419.97, 579.59 and 233.52 is: 322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.97 : 579.59 = 233.52 : x
  2. Step 2: Convert to fraction form
    419.97/579.59 = 233.52/x
  3. Step 3: Cross multiply
    419.97x = 579.59 × 233.52
  4. Step 4: Simplify right side
    419.97x = 135,346.44
  5. Step 5: Solve for x
    x = 135,346.44/419.97
  6. Step 6: Final answer
    x = 322.28

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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.