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Finding the Fourth Proportional to 418.42, 577.38 and 243.76

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Solution

The fourth proportional to 418.42, 577.38 and 243.76 is: 336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 577.38 = 243.76 : x
  2. Step 2: Convert to fraction form
    418.42/577.38 = 243.76/x
  3. Step 3: Cross multiply
    418.42x = 577.38 × 243.76
  4. Step 4: Simplify right side
    418.42x = 140,742.15
  5. Step 5: Solve for x
    x = 140,742.15/418.42
  6. Step 6: Final answer
    x = 336.37

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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.