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Finding the Fourth Proportional to 419.85, 579.05 and 272.23

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Solution

The fourth proportional to 419.85, 579.05 and 272.23 is: 375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.85 : 579.05 = 272.23 : x
  2. Step 2: Convert to fraction form
    419.85/579.05 = 272.23/x
  3. Step 3: Cross multiply
    419.85x = 579.05 × 272.23
  4. Step 4: Simplify right side
    419.85x = 157,632.99
  5. Step 5: Solve for x
    x = 157,632.99/419.85
  6. Step 6: Final answer
    x = 375.45

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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.