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Finding the Fourth Proportional to 419.23, 578.58 and 232.76

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Solution

The fourth proportional to 419.23, 578.58 and 232.76 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.23 : 578.58 = 232.76 : x
  2. Step 2: Convert to fraction form
    419.23/578.58 = 232.76/x
  3. Step 3: Cross multiply
    419.23x = 578.58 × 232.76
  4. Step 4: Simplify right side
    419.23x = 134,667.60
  5. Step 5: Solve for x
    x = 134,667.60/419.23
  6. Step 6: Final answer
    x = 321.23

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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.