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Finding the Fourth Proportional to 419.92, 579.50 and 233.42

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Solution

The fourth proportional to 419.92, 579.50 and 233.42 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.92 : 579.50 = 233.42 : x
  2. Step 2: Convert to fraction form
    419.92/579.50 = 233.42/x
  3. Step 3: Cross multiply
    419.92x = 579.50 × 233.42
  4. Step 4: Simplify right side
    419.92x = 135,266.89
  5. Step 5: Solve for x
    x = 135,266.89/419.92
  6. Step 6: Final answer
    x = 322.13

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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.