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Finding the Fourth Proportional to 418.50, 577.54 and 234.50

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Solution

The fourth proportional to 418.50, 577.54 and 234.50 is: 323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.50 : 577.54 = 234.50 : x
  2. Step 2: Convert to fraction form
    418.50/577.54 = 234.50/x
  3. Step 3: Cross multiply
    418.50x = 577.54 × 234.50
  4. Step 4: Simplify right side
    418.50x = 135,433.13
  5. Step 5: Solve for x
    x = 135,433.13/418.50
  6. Step 6: Final answer
    x = 323.62

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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.