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Finding the Fourth Proportional to 419.82, 579.38 and 233.32

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Solution

The fourth proportional to 419.82, 579.38 and 233.32 is: 322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.82 : 579.38 = 233.32 : x
  2. Step 2: Convert to fraction form
    419.82/579.38 = 233.32/x
  3. Step 3: Cross multiply
    419.82x = 579.38 × 233.32
  4. Step 4: Simplify right side
    419.82x = 135,181.37
  5. Step 5: Solve for x
    x = 135,181.37/419.82
  6. Step 6: Final answer
    x = 322.00

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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.