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Finding the Fourth Proportional to 418.64, 577.66 and 252.84

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Solution

The fourth proportional to 418.64, 577.66 and 252.84 is: 348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 577.66 = 252.84 : x
  2. Step 2: Convert to fraction form
    418.64/577.66 = 252.84/x
  3. Step 3: Cross multiply
    418.64x = 577.66 × 252.84
  4. Step 4: Simplify right side
    418.64x = 146,055.55
  5. Step 5: Solve for x
    x = 146,055.55/418.64
  6. Step 6: Final answer
    x = 348.88

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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.