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Finding the Fourth Proportional to 418.54, 577.45 and 241.46

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Solution

The fourth proportional to 418.54, 577.45 and 241.46 is: 333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.54 : 577.45 = 241.46 : x
  2. Step 2: Convert to fraction form
    418.54/577.45 = 241.46/x
  3. Step 3: Cross multiply
    418.54x = 577.45 × 241.46
  4. Step 4: Simplify right side
    418.54x = 139,431.08
  5. Step 5: Solve for x
    x = 139,431.08/418.54
  6. Step 6: Final answer
    x = 333.14

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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.