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Finding the Fourth Proportional to 419.00, 578.21 and 232.49

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Solution

The fourth proportional to 419.00, 578.21 and 232.49 is: 320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.00 : 578.21 = 232.49 : x
  2. Step 2: Convert to fraction form
    419.00/578.21 = 232.49/x
  3. Step 3: Cross multiply
    419.00x = 578.21 × 232.49
  4. Step 4: Simplify right side
    419.00x = 134,429.20
  5. Step 5: Solve for x
    x = 134,429.20/419.00
  6. Step 6: Final answer
    x = 320.84

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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.