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Finding the Fourth Proportional to 418.52, 577.64 and 252.75

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Solution

The fourth proportional to 418.52, 577.64 and 252.75 is: 348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 577.64 = 252.75 : x
  2. Step 2: Convert to fraction form
    418.52/577.64 = 252.75/x
  3. Step 3: Cross multiply
    418.52x = 577.64 × 252.75
  4. Step 4: Simplify right side
    418.52x = 145,999.14
  5. Step 5: Solve for x
    x = 145,999.14/418.52
  6. Step 6: Final answer
    x = 348.84

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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.