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Finding the Fourth Proportional to 419.57, 579 and 233.06

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Solution

The fourth proportional to 419.57, 579 and 233.06 is: 321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.57 : 579 = 233.06 : x
  2. Step 2: Convert to fraction form
    419.57/579 = 233.06/x
  3. Step 3: Cross multiply
    419.57x = 579 × 233.06
  4. Step 4: Simplify right side
    419.57x = 134,943.19
  5. Step 5: Solve for x
    x = 134,943.19/419.57
  6. Step 6: Final answer
    x = 321.62

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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.