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Finding the Fourth Proportional to 419.67, 579.14 and 233.16

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Solution

The fourth proportional to 419.67, 579.14 and 233.16 is: 321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.67 : 579.14 = 233.16 : x
  2. Step 2: Convert to fraction form
    419.67/579.14 = 233.16/x
  3. Step 3: Cross multiply
    419.67x = 579.14 × 233.16
  4. Step 4: Simplify right side
    419.67x = 135,032.28
  5. Step 5: Solve for x
    x = 135,032.28/419.67
  6. Step 6: Final answer
    x = 321.76

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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.