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Finding the Fourth Proportional to 418.39, 577.44 and 243.70

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Solution

The fourth proportional to 418.39, 577.44 and 243.70 is: 336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.39 : 577.44 = 243.70 : x
  2. Step 2: Convert to fraction form
    418.39/577.44 = 243.70/x
  3. Step 3: Cross multiply
    418.39x = 577.44 × 243.70
  4. Step 4: Simplify right side
    418.39x = 140,722.13
  5. Step 5: Solve for x
    x = 140,722.13/418.39
  6. Step 6: Final answer
    x = 336.34

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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.