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Finding the Fourth Proportional to 419.14, 578.41 and 232.65

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Solution

The fourth proportional to 419.14, 578.41 and 232.65 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 578.41 = 232.65 : x
  2. Step 2: Convert to fraction form
    419.14/578.41 = 232.65/x
  3. Step 3: Cross multiply
    419.14x = 578.41 × 232.65
  4. Step 4: Simplify right side
    419.14x = 134,566.50
  5. Step 5: Solve for x
    x = 134,566.50/419.14
  6. Step 6: Final answer
    x = 321.05

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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.