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Finding the Fourth Proportional to 418.29, 577.10 and 252.44

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Solution

The fourth proportional to 418.29, 577.10 and 252.44 is: 348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.29 : 577.10 = 252.44 : x
  2. Step 2: Convert to fraction form
    418.29/577.10 = 252.44/x
  3. Step 3: Cross multiply
    418.29x = 577.10 × 252.44
  4. Step 4: Simplify right side
    418.29x = 145,678.98
  5. Step 5: Solve for x
    x = 145,678.98/418.29
  6. Step 6: Final answer
    x = 348.28

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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.