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Finding the Fourth Proportional to 419.11, 578.35 and 232.59

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Solution

The fourth proportional to 419.11, 578.35 and 232.59 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.11 : 578.35 = 232.59 : x
  2. Step 2: Convert to fraction form
    419.11/578.35 = 232.59/x
  3. Step 3: Cross multiply
    419.11x = 578.35 × 232.59
  4. Step 4: Simplify right side
    419.11x = 134,518.43
  5. Step 5: Solve for x
    x = 134,518.43/419.11
  6. Step 6: Final answer
    x = 320.96

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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.