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Finding the Fourth Proportional to 418.70, 577.83 and 252.98

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Solution

The fourth proportional to 418.70, 577.83 and 252.98 is: 349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.70 : 577.83 = 252.98 : x
  2. Step 2: Convert to fraction form
    418.70/577.83 = 252.98/x
  3. Step 3: Cross multiply
    418.70x = 577.83 × 252.98
  4. Step 4: Simplify right side
    418.70x = 146,179.43
  5. Step 5: Solve for x
    x = 146,179.43/418.70
  6. Step 6: Final answer
    x = 349.13

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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.