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Finding the Fourth Proportional to 419.03, 577.91 and 331.55

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Solution

The fourth proportional to 419.03, 577.91 and 331.55 is: 457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.03 : 577.91 = 331.55 : x
  2. Step 2: Convert to fraction form
    419.03/577.91 = 331.55/x
  3. Step 3: Cross multiply
    419.03x = 577.91 × 331.55
  4. Step 4: Simplify right side
    419.03x = 191,604.40
  5. Step 5: Solve for x
    x = 191,604.40/419.03
  6. Step 6: Final answer
    x = 457.26

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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.