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Finding the Fourth Proportional to 419.09, 578.32 and 232.57

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Solution

The fourth proportional to 419.09, 578.32 and 232.57 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.09 : 578.32 = 232.57 : x
  2. Step 2: Convert to fraction form
    419.09/578.32 = 232.57/x
  3. Step 3: Cross multiply
    419.09x = 578.32 × 232.57
  4. Step 4: Simplify right side
    419.09x = 134,499.88
  5. Step 5: Solve for x
    x = 134,499.88/419.09
  6. Step 6: Final answer
    x = 320.94

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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.