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Finding the Fourth Proportional to 419.50, 578.94 and 233

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Solution

The fourth proportional to 419.50, 578.94 and 233 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 578.94 = 233 : x
  2. Step 2: Convert to fraction form
    419.50/578.94 = 233/x
  3. Step 3: Cross multiply
    419.50x = 578.94 × 233
  4. Step 4: Simplify right side
    419.50x = 134,893.02
  5. Step 5: Solve for x
    x = 134,893.02/419.50
  6. Step 6: Final answer
    x = 321.56

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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.